One Hat Cyber Team

View File Name : La-yusen.ps

%!PS-Adobe-2.0
%%Creator: dvips(k) 5.92a Copyright 2002 Radical Eye Software
%%Title: La-yusen.dvi
%%Pages: 8
%%PageOrder: Ascend
%%BoundingBox: 0 0 596 842
%%DocumentFonts: CMBX10 CMSY10 CMR8 CMCSC10 CMSY8 CMMI8 CMR6 CMR10
%%+ CMMI10 CMMI7 CMR7 CMMI5 MSBM10 CMSY7 CMR5 CMEX10 CMTI8 LCIRCLE10
%%+ LINE10 MSAM10 CMTI10 CMSY5 CMBX8 CMTT8
%%EndComments
%DVIPSWebPage: (www.radicaleye.com)
%DVIPSCommandLine: dvips -o La-yusen.ps La-yusen.dvi
%DVIPSParameters: dpi=600, compressed
%DVIPSSource:  TeX output 2006.03.15:1226
%%BeginProcSet: texc.pro
%!
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3
1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx
0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx
sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{
rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp
gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B
/chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{
/cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{
A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy
get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse}
ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp
fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17
{2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add
chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{
1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop}
forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
(LaserWriter 16/600)]{A length product length le{A length product exch 0
exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end

%%EndProcSet
%%BeginProcSet: f7b6d320.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmb10 cmbx10 cmbx12 cmbx5 cmbx6 cmbx7 cmbx8 cmbx9 cmbxsl10
%     cmdunh10 cmr10 cmr12 cmr17cmr6 cmr7 cmr8 cmr9 cmsl10 cmsl12 cmsl8
%     cmsl9 cmss10cmss12 cmss17 cmss8 cmss9 cmssbx10 cmssdc10 cmssi10
%     cmssi12 cmssi17 cmssi8cmssi9 cmssq8 cmssqi8 cmvtt10
%
/TeXf7b6d320Encoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve
/macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash
/suppress /exclam /quotedblright /numbersign /dollar /percent /ampersand
/quoteright /parenleft /parenright /asterisk /plus /comma /hyphen
/period /slash /zero /one /two /three /four /five /six /seven /eight
/nine /colon /semicolon /exclamdown /equal /questiondown /question /at
/A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X
/Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent
/quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u
/v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef
/.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: bbad153f.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmsy10 cmsy5 cmsy6 cmsy7 cmsy8 cmsy9
%
/TeXbbad153fEncoding [
/minus /periodcentered /multiply /asteriskmath /divide /diamondmath
/plusminus /minusplus /circleplus /circleminus /circlemultiply
/circledivide /circledot /circlecopyrt /openbullet /bullet
/equivasymptotic /equivalence /reflexsubset /reflexsuperset /lessequal
/greaterequal /precedesequal /followsequal /similar /approxequal
/propersubset /propersuperset /lessmuch /greatermuch /precedes /follows
/arrowleft /arrowright /arrowup /arrowdown /arrowboth /arrownortheast
/arrowsoutheast /similarequal /arrowdblleft /arrowdblright /arrowdblup
/arrowdbldown /arrowdblboth /arrownorthwest /arrowsouthwest /proportional
/prime /infinity /element /owner /triangle /triangleinv /negationslash
/mapsto /universal /existential /logicalnot /emptyset /Rfractur /Ifractur
/latticetop /perpendicular /aleph /A /B /C /D /E /F /G /H /I /J /K
/L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /union /intersection
/unionmulti /logicaland /logicalor /turnstileleft /turnstileright
/floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright
/angbracketleft /angbracketright /bar /bardbl /arrowbothv /arrowdblbothv
/backslash /wreathproduct /radical /coproduct /nabla /integral
/unionsq /intersectionsq /subsetsqequal /supersetsqequal /section
/dagger /daggerdbl /paragraph /club /diamond /heart /spade /arrowleft
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/minus /periodcentered /multiply /asteriskmath /divide /diamondmath
/plusminus /minusplus /circleplus /circleminus /.notdef /.notdef
/circlemultiply /circledivide /circledot /circlecopyrt /openbullet
/bullet /equivasymptotic /equivalence /reflexsubset /reflexsuperset
/lessequal /greaterequal /precedesequal /followsequal /similar
/approxequal /propersubset /propersuperset /lessmuch /greatermuch
/precedes /follows /arrowleft /spade /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: 0ef0afca.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmr5
%
/TeX0ef0afcaEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/arrowup /arrowdown /quotesingle /exclamdown /questiondown /dotlessi
/dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls
/ae /oe /oslash /AE /OE /Oslash /suppress /exclam /quotedblright
/numbersign /dollar /percent /ampersand /quoteright /parenleft
/parenright /asterisk /plus /comma /hyphen /period /slash /zero /one
/two /three /four /five /six /seven /eight /nine /colon /semicolon
/less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K
/L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /quotedblleft
/bracketright /circumflex /dotaccent /quoteleft /a /b /c /d /e /f /g /h
/i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /endash /emdash
/hungarumlaut /tilde /dieresis /suppress /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda
/Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /arrowup
/arrowdown /quotesingle /exclamdown /questiondown /dotlessi /dotlessj
/grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe
/oslash /AE /OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: aae443f0.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmmi10 cmmi12 cmmi5 cmmi6 cmmi7 cmmi8 cmmi9 cmmib10
%
/TeXaae443f0Encoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa
/lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi
/omega /epsilon /theta1 /pi1 /rho1 /sigma1 /phi1 /arrowlefttophalf
/arrowleftbothalf /arrowrighttophalf /arrowrightbothalf /arrowhookleft
/arrowhookright /triangleright /triangleleft /zerooldstyle /oneoldstyle
/twooldstyle /threeoldstyle /fouroldstyle /fiveoldstyle /sixoldstyle
/sevenoldstyle /eightoldstyle /nineoldstyle /period /comma /less /slash
/greater /star /partialdiff /A /B /C /D /E /F /G /H /I /J /K /L /M /N
/O /P /Q /R /S /T /U /V /W /X /Y /Z /flat /natural /sharp /slurbelow
/slurabove /lscript /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p
/q /r /s /t /u /v /w /x /y /z /dotlessi /dotlessj /weierstrass /vector
/tie /psi /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi
/.notdef /.notdef /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta
/theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon
/phi /chi /psi /tie /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: 74afc74c.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmbxti10 cmff10 cmfi10 cmfib8 cmti10 cmti12 cmti7 cmti8cmti9 cmu10
%
/TeX74afc74cEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve
/macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash
/suppress /exclam /quotedblright /numbersign /sterling /percent
/ampersand /quoteright /parenleft /parenright /asterisk /plus /comma
/hyphen /period /slash /zero /one /two /three /four /five /six /seven
/eight /nine /colon /semicolon /exclamdown /equal /questiondown /question
/at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W
/X /Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent
/quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u
/v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef
/.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: 09fbbfac.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmsltt10 cmtt10 cmtt12 cmtt8 cmtt9
/TeX09fbbfacEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi
/Omega /arrowup /arrowdown /quotesingle /exclamdown /questiondown
/dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla
/germandbls /ae /oe /oslash /AE /OE /Oslash /visiblespace /exclam
/quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft
/parenright /asterisk /plus /comma /hyphen /period /slash /zero /one
/two /three /four /five /six /seven /eight /nine /colon /semicolon /less
/equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N
/O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright
/asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l
/m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright
/asciitilde /dieresis /visiblespace /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi
/Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /arrowup /arrowdown
/quotesingle /exclamdown /questiondown /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /visiblespace /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: texps.pro
%!
TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll
exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get
div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type
/nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end
definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll
mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[
exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if}
forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def
end

%%EndProcSet
%%BeginFont: CMTT8
%!PS-AdobeFont-1.1: CMTT8 1.0
%%CreationDate: 1991 Aug 20 16:46:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-5 -232 545 699}readonly def
/UniqueID 5000830 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMBX8
%!PS-AdobeFont-1.1: CMBX8 1.0
%%CreationDate: 1991 Aug 20 16:36:07
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-59 -250 1235 750}readonly def
/UniqueID 5000766 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMSY5
%!PS-AdobeFont-1.1: CMSY5 1.0
%%CreationDate: 1991 Aug 15 07:21:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{21 -944 1448 791}readonly def
/UniqueID 5000815 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: MSAM10
%!PS-AdobeFont-1.1: MSAM10 2.1
%%CreationDate: 1993 Sep 17 09:05:00
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSAM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSAM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /square put
dup 54 /lessorequalslant put
dup 62 /greaterorequalslant put
readonly def
/FontBBox{8 -463 1331 1003}readonly def
/UniqueID 5031981 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: LINE10
%!PS-AdobeFont-1.1: LINE10 1.001
%%CreationDate: 1992 Oct 23 20:22:05
%%RevisionDate: 2001 Jun 05 20:22:05
% Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.001) readonly def
/Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def
/FullName (LINE10) readonly def
/FamilyName (LaTeX) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /LINE10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 8 /a8 put
dup 72 /a72 put
readonly def
/FontBBox{-150 -150 1020 1020}readonly def
/UniqueID 5011940 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: LCIRCLE10
%!PS-AdobeFont-1.1: LCIRCLE10 1.001
%%CreationDate: 1992 Oct 23 20:21:59
%%RevisionDate: 2001 Jun 05 20:21:59
% Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.001) readonly def
/Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def
/FullName (LCIRCLE10) readonly def
/FamilyName (LaTeX) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /LCIRCLE10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 113 /a113 put
dup 115 /a115 put
readonly def
/FontBBox{-2000 -2000 2040 2040}readonly def
/UniqueID 5011942 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMTI8
%!PS-AdobeFont-1.1: CMTI8 1.0
%%CreationDate: 1991 Aug 18 21:07:42
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-35 -250 1190 750}readonly def
/UniqueID 5000826 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 2 /bracketleftbig put
dup 3 /bracketrightbig put
dup 12 /vextendsingle put
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
dup 20 /bracketleftbigg put
dup 21 /bracketrightbigg put
dup 26 /braceleftbigg put
dup 27 /bracerightbigg put
dup 34 /bracketleftBigg put
dup 35 /bracketrightBigg put
dup 80 /summationtext put
dup 88 /summationdisplay put
dup 91 /uniondisplay put
dup 110 /braceleftBig put
dup 111 /bracerightBig put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
/UniqueID 5000774 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: MSBM10
%!PS-AdobeFont-1.1: MSBM10 2.1
%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 63 /emptyset put
dup 67 /C put
dup 78 /N put
dup 82 /R put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
/UniqueID 5031982 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI5
%!PS-AdobeFont-1.1: CMMI5 1.100
%%CreationDate: 1996 Aug 02 08:21:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{37 -250 1349 750}readonly def
/UniqueID 5087380 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMCSC10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMCSC10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMCSC10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{14 -250 1077 750}readonly def
/UniqueID 5000772 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
/UniqueID 5000789 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F
D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758
469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8
2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C
68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361
3645B82392D5CAE11A7CB49D7E2E82DCD485CBA17D1AFFF95F4224CF7ECEE45C
BFB7C8C77C22A01C345078D28D3ECBF804CDC2FE5025FA0D05CCC5EFC0C4F87E
CBED13DDDF8F34E404F471C6DD2E43331D73E89BBC71E7BF889F6293793FEF5A
C9DD3792F032E37A364C70914843F7AA314413D022AE3238730B420A7E9D0CF5
D0E24F501451F9CDECE10AF7E14FF15C4F12F3FCA47DD9CD3C7AEA8D1551017D
23131C09ED104C052054520268A4FA3C6338BA6CF14C3DE3BAF2EA35296EE3D8
D6496277E11DFF6076FE64C8A8C3419FA774473D63223FFA41CBAE609C3D976B
93DFB4079ADC7C4EF07303F93808DDA9F651F61BCCF79555059A44CBAF84A711
6D98083CEF58230D54AD486C74C4A257FC703ACF918219D0A597A5F680B606E4
EF94ADF8BF91A5096A806DB64EC96636A98397D22A74932EB7346A9C4B5EE953
CB3C80AA634BFC28AA938C704BDA8DC4D13551CCFE2B2784BE8BF54502EBA9AF
D49B79237B9C56310550BC30E9108BB06EAC755D6AA4E688EFE2A0AAB17F20FE
00CD0BFF1B9CB6BDA0FA3A29A3117388B6686657A150CE6421FD5D420F4F7FB5
B0DAA1BA19D638676E9CF159AC7325EF17B9F74E082BEF75E10A31C7011C0FFA
99B797CE549B5C45238DD0FADD6B99D233AC69282DF0D91EA2DBD08CE0083904
A6D968D5AE3BD159D01BDFF42D16111BC0A517C66B43972080D9DD4F3B9AE7FB
11B035CE715C1218B2D779761D8D7E9DEBE277531BD58F313EBD27E33BEF9DC5
50C7821A8BBC3B9FDF899D7EAA0B94493B97AFEAC503EB5ED7A7AB663529DD50
29E1FF043619C3969739047DCBE95FAEB37EFFAFFD4E2D527FD1D64B2B73C2A4
51351F2F128C0F5C2A7EBB5BD0505D1FB171A3822B421DDC5D08071049EC1DFE
3641B49CDB804DDAF19D999AFA7902C078C7A8FA5F693E5D99361EEB8497B08D
A32FE2C067009DF57439AF9C3C6EC87C9C483FFB48D943DADABC5F84667151AA
A17C234A75DE7F762055582825C690CF921B5DAA600EF4B95CFE645109DE7083
C69408AF6F52A0A4DEC56F6A3AFD12AF6841E20FD43B78B7F035021580CE729C
EFFC80B733AFF9AD35852A2B3BF4F5E3EBB4EC471D32AB83914D3BD273A51217
4B1E99806361A4C3F7993635B43B7B009360C9D147A7E6A4C233AA1B332A9107
2B61DB6D20FD6E33CCCFDAF80204A3F1D9CE
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
/UniqueID 5087383 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B
532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470
B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B
986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE
D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5
5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC
4391C9DF440285B8FC159D0E98D4258FC57892DDF753642CD526A96ACEDA4120
788F22B1D09F149794E66DD1AC2C2B3BC6FEC59D626F427CD5AE9C54C7F78F62
C36F49B3C2E5E62AFB56DCEE87445A12A942C14AE618D1FE1B11A9CF9FAA1F32
617B598CE5058715EF3051E228F72F651040AD99A741F247C68007E68C84E9D1
D0BF99AA5D777D88A7D3CED2EA67F4AE61E8BC0495E7DA382E82DDB2B009DD63
532C74E3BE5EC555A014BCBB6AB31B8286D7712E0E926F8696830672B8214E9B
5D0740C16ADF0AFD47C4938F373575C6CA91E46D88DE24E682DEC44B57EA8AF8
4E57D45646073250D82C4B50CBBB0B369932618301F3D4186277103B53B3C9E6
DB42D6B30115F67B9D078220D5752644930643BDF9FACF684EBE13E39B65055E
B1BD054C324962025EC79E1D155936FE32D9F2224353F2A46C3558EF216F6BB2
A304BAF752BEEC36C4440B556AEFECF454BA7CBBA7537BCB10EBC21047333A89
8936419D857CD9F59EBA20B0A3D9BA4A0D3395336B4CDA4BA6451B6E4D1370FA
D9BDABB7F271BC1C6C48D9DF1E5A6FAE788F5609DE3C48D47A67097C547D9817
AD3A7CCE2B771843D69F860DA4059A71494281C0AD8D4BAB3F67BB6739723C04
AE05F9E35B2B2CB9C7874C114F57A185C8563C0DCCA93F8096384D71A2994748
A3C7C8B8AF54961A8838AD279441D9A5EB6C1FE26C98BD025F353124DA68A827
AE2AF8D25CA48031C242AA433EEEBB8ABA4B96821786C38BACB5F58C3D5DA011
85B385124C2B6534F3CD1866AF92009D93B97F763AA3E50303F28AE1EFC7ADBA
409C84600DB68BB0410185B8FF7431C7FACA7D8B926EFE641A2422CF9FD1A1D1
CB95BD4FA03EC52F40A7CEE68246BC67EF4BFC4644470759D77DB20994076801
01A4E0E0C52B56D9C306BB1EE35511E7AF6C865CB4EDED0230C53C35CE69D251
E6FDBD55B74CCC5E6FF8B1D127F8A9CD51CD10AD98B2BD657CE3724AA0FB372D
069230DB03691B254D50DB83FC739999F945B5C19D9FDA2CC46930C8F647E400
AF76A328D5E2DF9527FC411F44A959321ABE296AB6DA112C67B703D18306DBF8
509E92A3E31AF263B0EF952C1B028F4DB5925A7CD43CB116B86CA74656D8181F
8BC65139354B114E986445A23243ABB3E20E3CC343A17BEC3E4BB958F29B11AE
8C6A33C282926F16483C7F758D5E895BE95493C8FDE57F
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
/UniqueID 5000818 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
TeXDict begin 39158280 55380996 1000 600 600 (La-yusen.dvi)
@start /Fa 134[35 2[35 35 35 6[35 1[35 1[35 35 2[35 3[35
32[35 17[35 46[{ TeX09fbbfacEncoding ReEncodeFont }12
66.4176 /CMTT8 rf /Fb 198[41 1[41 41 41 41 41 1[41 49[{
 TeXf7b6d320Encoding ReEncodeFont }7 66.4176 /CMBX8 rf
/Fc 207[18 48[{ TeXbbad153fEncoding ReEncodeFont }1 41.511
/CMSY5 rf /Fd 133[34 40 39 55 38 45 28 34 35 1[42 42
47 68 21 38 1[25 42 38 25 38 42 38 38 42 9[83 2[59 1[61
1[56 3[52 2[32 62 3[63 1[58 62 5[25 25 6[42 4[25 30 25
2[34 34 27[47 12[{ TeX74afc74cEncoding ReEncodeFont }43
83.022 /CMTI10 rf /Fe 193[65 7[65 50[65 3[{}3 83.022
/MSAM10 rf /Ff 183[83 63[83 8[{}2 83.022 /LINE10 rf /Fg
140[33 1[17 113[{}2 83.022 /LCIRCLE10 rf /Fh 134[35 33
47 33 38 24 29 30 33 36 36 40 58 18 33 22 22 36 33 22
33 36 33 33 36 12[51 40 52 1[48 55 1[64 1[55 3[55 1[48
54 51 1[53 18[22 26 22 31[40 12[{ TeX74afc74cEncoding ReEncodeFont }41
66.4176 /CMTI8 rf /Fi 144[55 55 18[92 2[120 7[88 44[48
48 6[62 62 4[44 44 61 61 5[28 8[35 35 2[{}16 83.022 /CMEX10
rf /Fj 129[28 69[28 28 28 1[28 28 28 28 7[22 22 39[34{
 TeX0ef0afcaEncoding ReEncodeFont }11 41.511 /CMR5 rf
/Fk 205[45 66 19 44[34 2[52{ TeXbbad153fEncoding ReEncodeFont }5
58.1154 /CMSY7 rf /Fl 173[60 3[60 10[60 3[65 63[{}4 83.022
/MSBM10 rf /Fm 145[37 3[24 22 35[42 69[{
 TeXaae443f0Encoding ReEncodeFont }4 41.511 /CMMI5 rf
/Fn 129[33 14[33 1[55 8[37 10[49 49 2[49 47 37 48 1[45
51 49 1[41 51 1[24 1[51 43 45 1[47 46 49 3[51 1[19 2[33
33 33 33 33 33 33 33 33 2[22 1[51 1[26 26 39[41{
 TeXf7b6d320Encoding ReEncodeFont }38 58.1154 /CMR7 rf
/Fo 143[34 1[41 59 21 35 27 23 4[35 2[36 19[63 2[37 4[49
54 8[20 20 18[44 5[42 1[41 17[35 1[43 11[{
 TeXaae443f0Encoding ReEncodeFont }20 58.1154 /CMMI7
rf /Fp 143[42 1[50 73 25 43 34 29 2[41 39 43 2[44 12[49
51 2[53 2[81 57 1[46 36 1[65 1[61 69 2[62 2[65 42 65
23 23 18[54 5[52 54 52 2[36 47 1[47 11[43 1[53 11[{
 TeXaae443f0Encoding ReEncodeFont }36 83.022 /CMMI10
rf /Fq 129[42 2[42 37 44 44 60 44 46 32 33 33 44 46 42
46 69 23 44 25 23 46 42 25 37 46 37 46 42 3[23 1[23 3[85
62 62 60 46 61 1[57 65 62 1[52 65 1[30 62 65 54 57 63
60 59 62 3[65 1[23 23 42 42 42 42 42 42 42 42 42 42 1[23
28 23 65 1[32 32 23 24[69 46 46 48 4[60 5[52{
 TeXf7b6d320Encoding ReEncodeFont }76 83.022 /CMR10 rf
/Fr 134[51 51 1[51 51 49 38 50 1[46 53 51 1[43 2[25 51
53 44 46 52 49 48 51 13[51 9[34 4[69 65 64 17[46 1[27
46[{ TeX0ef0afcaEncoding ReEncodeFont }27 83.022 /CMCSC10
rf /Fs 203[30 52[{ TeXf7b6d320Encoding ReEncodeFont }1
49.8132 /CMR6 rf /Ft 187[58 68[{ TeXaae443f0Encoding ReEncodeFont }1
66.4176 /CMMI8 rf /Fu 252[35 3[{ TeXbbad153fEncoding ReEncodeFont }1
66.4176 /CMSY8 rf /Fv 134[41 2[41 41 39 30 40 2[42 41
50 34 42 1[20 41 1[36 37 41 39 39 41 11[54 52 41 4[54
66 1[56 1[27 7[54 10[37 2[37 1[37 37 1[21 1[21 4[21 39[{
 TeX0ef0afcaEncoding ReEncodeFont }34 66.4176 /CMCSC10
rf /Fw 129[35 2[35 1[37 37 51 37 39 27 28 28 1[39 35
39 59 20 37 22 20 39 35 22 31 39 31 39 35 6[43 53 53
72 53 53 51 39 52 1[48 55 53 65 44 55 36 25 1[55 46 48
54 51 50 53 6[20 35 35 35 35 35 35 35 35 35 35 35 20
24 20 2[27 27 40[{ TeXf7b6d320Encoding ReEncodeFont }67
66.4176 /CMR8 rf /Fx 145[42 3[23 32 32 42 42 9[55 55
10[58 7[70 6[66 9[0 0 2[55 55 83 7[83 83 6[83 6[65 4[65
3[65 13[42 1[23 65{ TeXbbad153fEncoding ReEncodeFont }25
83.022 /CMSY10 rf /Fy 134[50 4[37 38 39 1[53 48 53 80
27 2[27 53 2[44 3[46 7[72 72 3[66 53 72 1[65 72 75 1[57
75 1[36 75 75 60 63 73 69 68 72 10[48 48 48 48 48 48
2[27 32 32[53 12[{ TeXf7b6d320Encoding ReEncodeFont }41
83.022 /CMBX10 rf end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%PaperSize: A4
 end
%%EndSetup
%%Page: 1 1
TeXDict begin 1 0 bop 276 515 a Fy(ON)41 b(EXISTENCE)g(OF)g
Fx(\003)p Fy(-REPRESENT)-8 b(A)g(TIONS)40 b(OF)h(CER)-8
b(T)g(AIN)245 631 y(ALGEBRAS)41 b(RELA)-8 b(TED)42 b(TO)f(EXTENDED)h(D)
m(YNKIN)f(GRAPHS)1152 880 y Fw(K)n(OSTY)-6 b(ANTYN)23
b(YUSENK)n(O)299 1107 y Fv(Abstra)o(ct.)42 b Fw(F)-6
b(or)26 b(asso)r(ciated)i(with)e(the)i(extended)h(Dynkin)d(graphs)h
Fu(\003)p Fw(-algebras)g(w)n(e)f(in)n(v)n(esti-)299 1190
y(gate)i(parameters)f(set,)g(for)f(whic)n(h)g(there)h(exist)g(represen)
n(tations.)41 b(Giv)n(en)27 b(result)g(in)f(pap)r(er)h(is)299
1273 y(structure)21 b(prop)r(erties)g(of)f(suc)n(h)h(sets)f(and)h
(complete)h(description)f(of)f(set)h(related)g(to)g(graph)2793
1256 y(~)2777 1273 y Ft(D)2835 1282 y Fs(4)2870 1273
y Fw(.)1255 1702 y Fr(0.)41 b(Intr)n(oduction)100 1851
y Fq(In)27 b([1,)h(2)o(])g(\(see)f(also)g(cited)h(bibliograph)n(y)e
(therein\))i(the)g(follo)n(wing)e(problems)h(w)n(ere)g(studied,)h(let)0
1967 y Fp(M)81 1979 y Fo(i)142 1967 y Fq(=)34 b Fx(f)p
Fq(0)g(=)g Fp(\013)511 1924 y Fn(\()p Fo(i)p Fn(\))511
1989 y(0)625 1967 y Fp(<)g(\013)777 1924 y Fn(\()p Fo(i)p
Fn(\))777 1989 y(1)891 1967 y Fp(<)g Fx(\001)14 b(\001)g(\001)34
b Fp(<)g(\013)1273 1924 y Fn(\()p Fo(i)p Fn(\))1273 1977
y Fo(m)1332 1985 y Fm(i)1362 1967 y Fx(g)p Fp(;)48 b(i)34
b Fq(=)g(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(n)34 b Fq(b)r(e)h(giv)n(en)e
(\014nite)i(subsets)f(of)h Fl(R)2965 1979 y Fn(+)3054
1967 y Fq(and)0 2067 y Fp(\015)28 b Fx(2)23 b Fl(R)209
2079 y Fn(+)264 2067 y Fq(.)35 b(The)21 b(problem)f(is)h(to)f
(determine)h(whether)g(there)f(exist)h(n-tuples)g(of)f(Hermitian)h(op)r
(erators)0 2166 y Fp(A)62 2178 y Fo(i)113 2166 y Fq(=)i
Fp(A)263 2136 y Fk(\003)263 2188 y Fo(i)301 2166 y Fp(;)28
b(i)22 b Fq(=)h(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(n)28 b
Fq(suc)n(h)f(that)h(sp)r(ectra)f Fp(\033)s Fq(\()p Fp(A)1595
2178 y Fo(i)1623 2166 y Fq(\))d Fx(\032)e Fp(M)1847 2178
y Fo(i)1902 2166 y Fq(and)1128 2318 y Fp(A)1190 2330
y Fn(1)1246 2318 y Fq(+)c Fp(A)1391 2330 y Fn(2)1447
2318 y Fq(+)g Fx(\001)c(\001)g(\001)k Fq(+)g Fp(A)1790
2330 y Fo(n)1859 2318 y Fq(=)k Fp(\015)5 b(I)i(;)0 2470
y Fq(and)27 b(to)h(describ)r(e)f(all)g(irreducible)g(\(up)h(to)f(the)h
(unitary)f(equiv)-5 b(alence\))27 b(n-tuples)h(of)f(the)h(op)r
(erators.)0 2570 y(This)g(problem)f(could)g(b)r(e)h(reform)n(ulated)e
(in)i(terms)g(of)f Fx(\003)p Fq(-algebras)e(and)i(their)h
Fx(\003)p Fq(-represen)n(tations.)100 2669 y(Consider)e(the)i(follo)n
(wing)f Fx(\003)p Fq(-algebra)357 2832 y Fx(A)423 2844
y Fo(M)486 2852 y Fj(1)519 2844 y Fo(;M)602 2852 y Fj(2)635
2844 y Fo(;:::)n(;M)796 2852 y Fm(n)837 2844 y Fn(;)p
Fo(\015)922 2832 y Fq(=)22 b Fl(C)p Fx(h)p Fp(a)1145
2844 y Fn(1)1183 2832 y Fp(;)14 b(:)g(:)g(:)f(;)h(a)1411
2844 y Fo(n)1456 2832 y Fx(j)p Fp(a)1523 2844 y Fo(i)1574
2832 y Fq(=)23 b Fp(a)1706 2798 y Fk(\003)1706 2853 y
Fo(i)1744 2832 y Fp(;)14 b Fq(\()p Fp(a)1857 2844 y Fo(i)1903
2832 y Fx(\000)k Fp(\013)2039 2789 y Fn(\()p Fo(i)p Fn(\))2039
2855 y(0)2119 2832 y Fq(\))c Fp(:)g(:)g(:)g Fq(\()p Fp(a)2352
2844 y Fo(i)2398 2832 y Fx(\000)k Fp(\013)2534 2798 y
Fn(\()p Fo(i)p Fn(\))2534 2853 y Fo(m)2593 2861 y Fm(i)2623
2832 y Fq(\))24 b(=)e(0)p Fp(;)1926 2962 y(a)1970 2974
y Fn(1)2026 2962 y Fq(+)c Fp(a)2153 2974 y Fn(2)2208
2962 y Fq(+)g Fx(\001)c(\001)g(\001)k Fq(+)g Fp(a)2533
2974 y Fo(n)2602 2962 y Fq(=)k Fp(\015)5 b(e)p Fx(i)p
Fp(:)100 3114 y Fq(It)31 b(is)g(quite)g(easy)f(to)h(sho)n(w)g(that)g
(suc)n(h)g(algebra)e(is)i(isomorphic)f(to)h(the)g(algebra)e(generated)h
(b)n(y)0 3214 y(pro)5 b(jections)304 3377 y Fx(P)362
3389 y Fo(M)425 3397 y Fj(1)457 3389 y Fo(;M)540 3397
y Fj(2)573 3389 y Fo(;:::)o(;M)735 3397 y Fm(n)776 3389
y Fn(;)p Fo(\015)860 3377 y Fq(=)23 b Fl(C)p Fx(h)p Fp(p)1082
3334 y Fn(\(1\))1082 3399 y(1)1171 3377 y Fp(;)14 b(:)g(:)g(:)f(;)h(p)
1397 3343 y Fn(\(1\))1397 3398 y Fo(m)1456 3406 y Fj(1)1492
3377 y Fp(;)g(:)g(:)g(:)g(;)g(p)1719 3334 y Fn(\()p Fo(n)p
Fn(\))1719 3399 y(1)1816 3377 y Fp(;)g(:)g(:)g(:)f(;)h(p)2042
3343 y Fn(\()p Fo(n)p Fn(\))2042 3398 y Fo(m)2101 3406
y Fm(n)2146 3377 y Fx(j)p Fp(p)2211 3334 y Fn(\()p Fo(k)q
Fn(\))2211 3400 y Fo(i)2327 3377 y Fq(=)22 b Fp(p)2456
3334 y Fn(\()p Fo(k)q Fn(\)2)2456 3400 y Fo(i)2605 3377
y Fq(=)g Fp(p)2734 3334 y Fn(\()p Fo(k)q Fn(\))p Fk(\003)2734
3400 y Fo(i)2861 3377 y Fp(;)1717 3479 y Fo(n)1677 3504
y Fi(X)1684 3680 y Fo(i)p Fn(=1)1829 3478 y Fo(m)1888
3486 y Fm(i)1812 3504 y Fi(X)1811 3682 y Fo(k)q Fn(=1)1946
3582 y Fp(\013)1999 3539 y Fn(\()p Fo(i)p Fn(\))1999
3608 y Fo(k)2079 3582 y Fp(p)2121 3539 y Fn(\()p Fo(i)p
Fn(\))2121 3608 y Fo(k)2223 3582 y Fq(=)h Fp(\015)5 b(e;)14
b(p)2477 3539 y Fn(\()p Fo(i)p Fn(\))2477 3606 y Fo(j)2555
3582 y Fp(p)2597 3539 y Fn(\()p Fo(i)p Fn(\))2597 3608
y Fo(k)2700 3582 y Fq(=)22 b(0)p Fx(i)p Fp(:)100 3809
y Fq(T)-7 b(o)34 b(eac)n(h)g(algebra)f Fx(P)779 3821
y Fo(M)842 3829 y Fj(1)874 3821 y Fo(;M)957 3829 y Fj(2)990
3821 y Fo(;:::)o(;M)1152 3829 y Fm(n)1192 3821 y Fn(;)p
Fo(\015)1288 3809 y Fq(one)i(can)f(assign)g(the)h(connected)f
(non-orien)n(ted)g(graph)f(\000)0 3908 y(that)f(has)e(n)i(branc)n(hes)e
(connected)h(in)g(the)h(common)e(v)n(ertex)h(\(the)h(ro)r(ot\),)f(suc)n
(h)g(that)h(i-th)f(branc)n(h)0 4024 y(has)e Fp(m)223
4036 y Fo(i)281 4024 y Fq(v)n(ertices,)g Fp(i)d Fq(=)h(1)p
Fp(;)14 b(:)g(:)g(:)f(;)h(n)p Fq(.)43 b(Starting)29 b(with)i
Fp(\013)1666 3981 y Fn(\()p Fo(i)p Fn(\))1666 4047 y
Fo(j)1775 4024 y Fq(w)n(e)f(construct)f(a)h(function)g
Fp(\037)g Fq(\(w)n(e)f(will)i(call)0 4129 y(it)i(c)n(haracter)d(of)j
(algebra\))e(on)h(the)h(set)g(of)f(v)n(ertices)g(except)g(for)g(the)h
(ro)r(ot)f(in)h(the)g(follo)n(wing)e(w)n(a)n(y:)0 4245
y Fp(\037)52 4202 y Fn(\()p Fo(i)p Fn(\))52 4268 y Fo(j)164
4245 y Fq(\(i-th)h(branc)n(h,)h(j-th)g(v)n(ertex\))e(equals)h(to)g
Fp(\013)1529 4202 y Fn(\()p Fo(i)p Fn(\))1529 4268 y
Fo(j)1609 4245 y Fq(,)h(the)g(ro)r(ot)e(of)h(the)h(tree)f(is)g(corresp)
r(onded)e(to)i Fp(\015)5 b Fq(.)0 4374 y(Character)28
b Fp(\037)j Fq(could)f(b)r(e)g(written)h(as)e(the)i(v)n(ector)e
Fp(\037)e Fq(=)g(\()p Fp(\013)1864 4331 y Fn(\(1\))1864
4397 y(1)1954 4374 y Fp(;)14 b(:)g(:)g(:)f(;)h(\013)2191
4331 y Fn(\(1\))2191 4384 y Fo(m)2250 4392 y Fj(1)2287
4374 y Fq(;)g Fp(:)g(:)g(:)f Fq(;)31 b Fp(\013)2541 4331
y Fn(\()p Fo(n)p Fn(\))2541 4397 y(1)2638 4374 y Fp(;)14
b(:)g(:)g(:)g(;)g(\013)2876 4331 y Fn(\()p Fo(n)p Fn(\))2876
4384 y Fo(m)2935 4392 y Fm(n)2980 4374 y Fq(\).)45 b(An)0
4474 y(algebra)28 b Fx(P)351 4486 y Fo(M)414 4494 y Fj(1)447
4486 y Fo(;M)530 4494 y Fj(2)562 4486 y Fo(;:::)o(;M)724
4494 y Fm(n)765 4486 y Fn(;)p Fo(\015)857 4474 y Fq(is)i(uniquely)g
(giv)n(en)g(b)n(y)g(graph)f(\000,)i(c)n(haracter)d Fp(\037)p
Fq(,)j(and)f Fp(\015)5 b Fq(,)31 b(hence)f(w)n(e)g(will)0
4574 y(denote)e(it)g(b)n(y)f Fx(P)524 4586 y Fn(\000)p
Fo(;\037;\015)716 4574 y Fq(in)h(the)g(sequel.)100 4673
y(The)f(additiv)n(e)h(sp)r(ectral)f(problem)g(is)g(equiv)-5
b(alen)n(t)27 b(to)h(the)g(follo)n(wing)e(tasks)h(to)h(b)r(e)g(solv)n
(ed:)p 0 4793 499 4 v 100 4887 a Fw(Receiv)n(ed)d(b)n(y)f(the)g
(editors)g(16/01/2006.)100 4970 y(2000)i Fh(Mathematics)g(Subje)l(ct)f
(Classi\014c)l(ation.)37 b Fw(Primary)22 b(47A62,)j(17B10,)f(16G20.)100
5050 y Fh(Key)35 b(wor)l(ds)i(and)g(phr)l(ases.)g Fw(Op)r(erator)e
(algebras,)j(additiv)n(e)e(sp)r(ectral)f(problem,)i(extended)g(Dynkin)e
(graphs,)0 5133 y Fu(\003)p Fw(-represen)n(tations)q(,)23
b(Co)n(xeter)i(functors.)100 5214 y(This)k(w)n(ork)g(w)n(as)h
(partially)f(supp)r(orted)i(b)n(y)f(the)h(State)g(F)-6
b(oundation)32 b(of)d(F)-6 b(undamen)n(tal)32 b(Researc)n(h)e(of)f
(Ukraine,)0 5297 y(gran)n(t)24 b(no.)g(01.07/071.)1577
5396 y Fn(1)p eop end
%%Page: 2 2
TeXDict begin 2 1 bop 0 50 a Fn(2)1150 b(K)n(OSTY)-5
b(ANTYN)23 b(YUSENK)n(O)141 249 y Fq(\(1\))42 b(a\))25
b(to)g(describ)r(e)f(the)i(set)f(\006)1133 261 y Fn(\000)1201
249 y Fq(=)e Fx(f)p Fq(\()p Fp(\037)p Fq(;)14 b Fp(\015)5
b Fq(\))p Fx(j)24 b Fq(there)h(there)g(exists)g(a)g(represen)n(tation)e
(of)i(algebra)289 349 y Fx(P)347 361 y Fn(\000)p Fo(;\037;\015)511
349 y Fx(g)p Fp(;)289 448 y Fq(b\))40 b(for)f(eac)n(h)g(c)n(haracter)e
Fp(\037)j Fq(to)g(describ)r(e)f(the)h(set)g(\006)2015
460 y Fn(\000)p Fo(;\037)2164 448 y Fq(=)j Fx(f)p Fp(\015)k
Fx(2)d Fl(R)2563 460 y Fn(+)2618 448 y Fx(j)c Fq(there)f(exists)h(a)289
548 y(represen)n(tation)26 b(of)h(algebra)f Fx(P)1275
560 y Fn(\000)p Fo(;\037;\015)1439 548 y Fx(g)p Fq(;)141
648 y(\(2\))42 b(for)27 b(ev)n(ery)f(pair)h(\()p Fp(\037)p
Fq(;)14 b Fp(\015)5 b Fq(\))23 b Fx(2)g Fq(\006)1168
660 y Fn(\000)1241 648 y Fq(to)28 b(describ)r(e)f(all)g(irreducible)g
Fx(\003)p Fq(-represen)n(tation)e(of)j Fx(P)2955 660
y Fn(\000)p Fo(;\037;\015)3119 648 y Fq(.)100 771 y(Dep)r(ending)d(on)f
(the)h(prop)r(erties)f(of)g(the)h(graph)f(\000,)h(the)g(structure)f(of)
h(represen)n(tations)d(of)j Fx(P)3024 783 y Fn(\000)p
Fo(;\037;\015)0 871 y Fq(is)h(quite)h(di\013eren)n(t.)36
b(The)27 b(result)e(of)i(recen)n(t)e(pap)r(er)h([4])g(sho)n(ws)f(that)i
(if)g(\000)f(is)g(a)g(Dynkin)g(graph)g(of)g(the)0 970
y(t)n(yp)r(e)i Fp(A)249 982 y Fo(n)294 970 y Fq(,)g Fp(D)414
982 y Fo(n)459 970 y Fq(,)g Fp(E)571 982 y Fn(6)608 970
y Fq(,)g Fp(E)720 982 y Fn(7)757 970 y Fq(,)g(or)f Fp(E)971
982 y Fn(8)1008 970 y Fq(:)598 1191 y Fg(s)299 b(s)50
b(q)66 b(q)g(q)g(s)299 b(s)p 598 1193 333 4 v 1262 1193
V 627 1095 a Fp(A)689 1107 y Fo(n)1926 1357 y Fg(s)1926
1025 y(s)2258 1191 y(s)50 b(q)66 b(q)g(q)g(s)299 b(s)1926
1357 y Ff(\010)2009 1315 y(\010)2092 1274 y(\010)2175
1232 y(\010)1926 1066 y(H)2009 1108 y(H)2092 1149 y(H)2175
1191 y(H)p 2590 1193 V 1886 1212 a Fp(D)1955 1224 y Fo(n)764
1782 y Fg(s)133 b(s)g(s)g(s)g(s)1096 1616 y(s)p 764 1784
167 4 v 930 1784 V 1096 1784 V 1262 1784 V 1094 1782
4 167 v 798 1687 a Fp(E)859 1699 y Fn(6)1926 1782 y Fg(s)g(s)g(s)g(s)g
(s)g(s)2258 1616 y(s)p 1926 1784 167 4 v 2092 1784 V
2258 1784 V 2424 1784 V 2590 1784 V 2257 1782 4 167 v
1960 1687 a Fp(E)2021 1699 y Fn(7)1262 2207 y Fg(s)g(s)g(s)g(s)g(s)g(s)
g(s)1594 2041 y(s)p 1262 2209 167 4 v 1428 2209 V 1594
2209 V 1760 2209 V 1926 2209 V 2092 2209 V 1592 2207
4 167 v 1296 2112 a Fp(E)1357 2124 y Fn(8)0 2422 y Fq(then)19
b Fx(P)238 2434 y Fn(\000)p Fo(;\037;\015)421 2422 y
Fq(is)f(\014nite)h(dimensional,)h(if)e(\000)h(is)f(an)g(extended)h
(Dynkin)g(graph)e(of)h(the)h(t)n(yp)r(e)2759 2401 y(~)2739
2422 y Fp(D)2808 2434 y Fn(4)2845 2422 y Fp(;)2902 2401
y Fq(~)2882 2422 y Fp(E)2943 2434 y Fn(6)2981 2422 y
Fp(;)3037 2401 y Fq(~)3018 2422 y Fp(E)3079 2434 y Fn(7)3116
2422 y Fp(;)3172 2401 y Fq(~)3153 2422 y Fp(E)3214 2434
y Fn(8)847 2809 y Fg(s)216 b(s)g(s)1096 2560 y(s)1096
3058 y(s)p 847 2810 250 4 v 1096 2810 V 1094 2809 4 250
v 1094 3058 V 896 2609 a Fq(~)877 2630 y Fp(D)946 2642
y Fn(4)1677 2892 y Fg(s)133 b(s)g(s)g(s)g(s)2009 2726
y(s)2009 2560 y(s)p 1677 2893 167 4 v 1843 2893 V 2009
2893 V 2175 2893 V 2007 2892 4 167 v 2007 2726 V 1730
2775 a Fq(~)1711 2796 y Fp(E)1772 2808 y Fn(6)515 3400
y Fg(s)g(s)g(s)g(s)g(s)g(s)g(s)1013 3234 y(s)p 515 3402
167 4 v 681 3402 V 1013 3402 V 847 3402 V 1179 3402 V
1345 3402 V 1011 3400 4 167 v 568 3284 a Fq(~)548 3305
y Fp(E)609 3317 y Fn(7)1677 3400 y Fg(s)g(s)g(s)g(s)g(s)g(s)g(s)g(s)
2009 3234 y(s)p 1677 3402 167 4 v 1843 3402 V 2009 3402
V 2175 3402 V 2341 3402 V 2507 3402 V 2673 3402 V 2007
3400 4 167 v 1730 3284 a Fq(~)1711 3305 y Fp(E)1772 3317
y Fn(8)0 3596 y Fq(then)31 b(the)h(algebra)d Fx(P)691
3608 y Fn(\000)p Fo(;\037;\015)886 3596 y Fq(is)i(in\014nite)h
(dimensional)e(and)h(of)g(p)r(olynomial)f(gro)n(wth,)h(and)g(\014nally)
g(if)0 3696 y(\000)36 b(neither)g(a)f(Dynkin)i(graph)e(nor)g(an)h
(extended)g(Dynkin)g(graph)f(then)h Fx(P)2444 3708 y
Fn(\000)p Fo(;\037;\015)2645 3696 y Fq(con)n(tains)f(a)g(free)0
3795 y(algebra)26 b(with)i(t)n(w)n(o)f(generators)e(\(in)j(this)g(case)
f(task)g(\(2\))g(could)h(b)r(e)g(to)r(o)f(complicated\).)100
3895 y(A)n(tten)n(tion)33 b(in)g(this)g(article)g(is)f(concen)n(trated)
g(at)h(studing)g(sets)g(\006)2231 3907 y Fn(\000)p Fo(;\037)2370
3895 y Fq(in)g(the)h(case)e(where)g(\000)h(is)0 3995
y(an)h(extended)g(Dynkin)h(graph.)56 b(Giv)n(en)34 b(result)f(here)h
(is)g(full)h(description)f(of)g(the)h(set)f(\006)2877
4005 y Fn(~)2862 4020 y Fo(D)2916 4028 y Fj(4)2948 4020
y Fo(;\037)3014 3995 y Fq(,)i(the)0 4097 y(conditions)24
b(under)h(whic)n(h)f(sets)h(\006)1081 4109 y Fn(\000)p
Fo(;\037)1212 4097 y Fq(are)f(in\014nite,)i(and)e(the)h(conditions)g
(under)f(whic)n(h)h(there)f(exist)0 4197 y Fx(\003)p
Fq(-represen)n(tations)h(of)j Fx(P)798 4209 y Fn(\000)p
Fo(;\037;\015)990 4197 y Fq(on)g(sp)r(ecial)f(case)g(where)g
Fp(\015)i Fq(=)23 b Fp(!)2004 4209 y Fn(\000)2076 4197
y Fq(\(see)28 b(section)g(2)f(for)g(the)i(di\014nition)0
4296 y(of)f Fp(!)147 4308 y Fn(\000)191 4296 y Fq(\).)1022
4503 y(1.)41 b Fr(Description)32 b(of)f(set)h Fq(\006)2029
4513 y Fn(~)2014 4528 y Fo(D)2068 4536 y Fj(4)2101 4528
y Fo(;\037)100 4660 y Fq(As)f(it)i(w)n(as)d(sho)n(wn)h(in)i([11)o(])f
(the)g(set)g(\006)1352 4670 y Fn(~)1337 4685 y Fo(D)1391
4693 y Fj(4)1423 4685 y Fo(;\037)1520 4660 y Fq(can)g(b)r(e)g(reduced)f
(to)h(the)g(structure)f(of)h(set)g(\006)3013 4672 y Fo(D)3067
4680 y Fj(4)3100 4672 y Fo(;\037)3165 4660 y Fq(.)0 4767
y(Complete)c(description)f(of)g(set)h(\006)1083 4779
y Fo(D)1137 4787 y Fj(4)1169 4779 y Fo(;\037)1262 4767
y Fq(w)n(as)f(giv)n(en)g(in)h([7)o(])427 4967 y(\006)487
4982 y Fo(D)541 4990 y Fj(4)574 4982 y Fo(;)p Fn(\()p
Fo(\013)663 4990 y Fj(1)695 4982 y Fo(;\013)758 4990
y Fj(2)790 4982 y Fo(;\013)853 4990 y Fj(3)886 4982 y
Fn(\))939 4967 y Fq(=)23 b Fx(f)p Fq(0)p Fp(;)14 b Fq(\()p
Fp(\013)1233 4979 y Fn(1)1288 4967 y Fq(+)k Fp(\013)1424
4979 y Fn(2)1479 4967 y Fq(+)g Fp(\013)1615 4979 y Fn(3)1653
4967 y Fq(\))p Fp(=)p Fq(2)p Fx(g)f([)1902 4850 y Fi(\032)1978
4888 y(X)1983 5066 y Fo(i)p Fk(2)p Fo(J)2112 4967 y Fp(\013)2165
4979 y Fo(i)2192 4967 y Fp(;)d(J)31 b Fx(\032)23 b(f)p
Fq(1)p Fp(;)14 b Fq(2)p Fp(;)g Fq(3)p Fx(g)2678 4850
y Fi(\033)2738 4967 y Fp(;)0 5197 y Fq(w)n(e)28 b(assume)g(that)g
Fp(\013)644 5209 y Fn(3)706 5197 y Fp(<)c(\013)848 5209
y Fn(1)904 5197 y Fq(+)18 b Fp(\013)1040 5209 y Fn(2)1106
5197 y Fq(otherwise)27 b(the)i(set)f(\006)1810 5209 y
Fo(D)1864 5217 y Fj(4)1897 5209 y Fo(;\037)1991 5197
y Fq(do)r(es)g(not)g(con)n(tain)g(the)g(p)r(oin)n(t)h(\()p
Fp(\013)3067 5209 y Fn(1)3123 5197 y Fq(+)0 5297 y Fp(\013)53
5309 y Fn(2)109 5297 y Fq(+)18 b Fp(\013)245 5309 y Fn(3)282
5297 y Fq(\))p Fp(=)p Fq(2.)p eop end
%%Page: 3 3
TeXDict begin 3 2 bop 426 50 a Fn(ON)29 b(EXISTENCE)f(OF)h
Fk(\003)p Fn(-REPRESENT)-5 b(A)g(TIONS)28 b(OF)h(CER)-5
b(T)g(AIN)29 b(ALGEBRAS)g Fo(:)11 b(:)g(:)393 b Fn(3)100
249 y Fq(Let)20 b Fp(\013)294 261 y Fo(i)322 249 y Fq(,)i
Fp(i)g Fq(=)h(1)p Fp(;)14 b(:)g(:)g(:)f(;)h Fq(4)20 b(denote)g(i-th)g
(comp)r(onen)n(t)g(of)g(the)h(c)n(haracter)d Fp(\037)i
Fq(and)g Fp(\013)k Fq(=)e Fp(\013)2641 261 y Fn(1)2682
249 y Fq(+)t Fp(\013)2804 261 y Fn(2)2844 249 y Fq(+)t
Fp(\013)2966 261 y Fn(3)3006 249 y Fq(+)t Fp(\013)3128
261 y Fn(4)3165 249 y Fq(.)0 349 y(The)28 b(set)f(\006)375
359 y Fn(~)360 374 y Fo(D)414 382 y Fj(4)447 374 y Fo(;\037)540
349 y Fq(satisfy)g(the)h(follo)n(wing)f(prop)r(erties)f(\(see)i([11)o
(]\):)141 477 y(\(1\))42 b(\006)364 487 y Fn(~)349 502
y Fo(D)403 510 y Fj(4)435 502 y Fo(;\037)524 477 y Fx(\032)22
b Fq([0)p Fp(;)14 b(\013)p Fq(];)141 584 y(\(2\))42 b(\006)364
594 y Fn(~)349 609 y Fo(D)403 617 y Fj(4)435 609 y Fo(;\037)524
584 y Fx(3)602 522 y Fi(P)690 609 y Fo(i)p Fk(2)p Fo(J)818
584 y Fp(\013)871 596 y Fo(i)899 584 y Fp(;)14 b(J)31
b Fx(\032)23 b(f)p Fq(0)p Fp(;)14 b Fq(1)p Fp(;)g Fq(2)p
Fp(;)g Fq(3)p Fp(;)g Fq(4)p Fx(g)p Fq(;)141 691 y(\(3\))42
b Fp(\034)32 b Fx(2)24 b Fq(\006)511 701 y Fn(~)496 716
y Fo(D)550 724 y Fj(4)583 716 y Fo(;\037)671 691 y Fx(\()-14
b(\))23 b Fp(\013)c Fx(\000)f Fp(\034)33 b Fx(2)23 b
Fq(\006)1223 701 y Fn(~)1208 716 y Fo(D)1262 724 y Fj(4)1295
716 y Fo(;\037)1360 691 y Fp(:)0 815 y Fq(Third)h(prop)r(ert)n(y)f
(means)h(that)h(\006)1071 825 y Fn(~)1056 840 y Fo(D)1110
848 y Fj(4)1143 840 y Fo(;\037)1232 815 y Fq(is)f(symmetric)g(around)
2002 782 y Fo(\013)p 2002 796 44 4 v 2007 844 a Fn(2)2055
815 y Fq(,)h(therefore)e(w)n(e)h(will)h(study)f(the)h(set)0
922 y(\006)75 932 y Fn(~)60 947 y Fo(D)114 955 y Fj(4)147
947 y Fo(;\037)230 922 y Fx(\\)19 b Fq([0)p Fp(;)416
890 y Fo(\013)p 416 904 V 421 951 a Fn(2)469 922 y Fq(\).)100
1025 y(Notice)30 b(that)g(in)h(the)f(case)g(where)f(at)h(least)g(one)g
(comp)r(onen)n(ts)g(of)g(the)g(c)n(haracter)e Fp(\037)2786
1037 y Fo(i)2841 1025 y Fe(>)2943 992 y Fo(\013)p 2943
1006 V 2948 1053 a Fn(2)3027 1025 y Fq(then)0 1124 y(corresp)r(onding)
21 b(pro)5 b(jection)22 b(equals)g(to)g(0)g(or)g Fp(I)30
b Fq(in)23 b(the)g(represen)n(tation,)f(hence)h(the)g(structure)f(of)h
(set)0 1224 y(\006)75 1234 y Fn(~)60 1249 y Fo(D)114
1257 y Fj(4)147 1249 y Fo(;\037)238 1224 y Fq(is)j(the)g(same)f(to)h
(the)g(structure)g(of)g(\006)1416 1236 y Fo(D)1470 1244
y Fj(4)1502 1236 y Fo(;\037)1568 1224 y Fq(.)36 b(Therefore)25
b(it)h(is)g(in)n(teresting)f(to)h(study)g(the)g(case)0
1326 y(where)i(all)g(comp)r(onen)n(ts)f(of)h(c)n(haracter)e
Fp(\037)j Fq(are)e(less)h(than)1850 1294 y Fo(\013)p
1850 1308 V 1855 1355 a Fn(2)1903 1326 y Fq(.)39 b(In)28
b(this)g(case)g(the)g(set)h(\006)2757 1336 y Fn(~)2742
1351 y Fo(D)2796 1359 y Fj(4)2828 1352 y Fo(;\037)2922
1326 y Fq(is)f(quite)0 1429 y(di\013eren)n(t)d(from)h(\006)580
1441 y Fo(D)634 1449 y Fj(4)666 1441 y Fo(;\037)732 1429
y Fq(,)f(furthermore)g(it)h(is)f(in\014nite.)37 b(The)25
b(follo)n(wing)g(prop)r(ositions)f(giv)n(e)g(complete)0
1529 y(description)j(of)h(the)g(set)f(\006)867 1539 y
Fn(~)852 1554 y Fo(D)906 1562 y Fj(4)939 1554 y Fo(;\037)1032
1529 y Fq(\(exact)g(tec)n(hnique)h(and)f(pro)r(ofs)g(can)g(b)r(e)h
(found)g(in)g([11)o(]\).)0 1685 y Fy(Lemma)40 b(1.)k
Fd(The)38 b(set)d Fq(\006)853 1695 y Fn(~)838 1710 y
Fo(D)892 1718 y Fj(4)925 1711 y Fo(;\037)1027 1685 y
Fd(c)l(ontains)h(the)g(in\014nite)g(series)h Fq(\006)2100
1697 y Fk(1)2206 1685 y Fd(with)g(limit)g(p)l(oint)2823
1653 y Fo(\013)p 2823 1667 V 2828 1714 a Fn(2)2912 1685
y Fd(and)g(the)0 1788 y(\014nite)29 b(series)i Fq(\006)509
1800 y Fn(0)546 1788 y Fd(.)39 b(This)31 b(two)e(series)i(ar)l(e)f
(describ)l(e)l(d)h(by)f(the)g(fol)t(lowing)j(rule:)141
1909 y Fq(\(1\))42 b Fd(if)30 b Fp(\013)422 1921 y Fn(2)478
1909 y Fq(+)18 b Fp(\013)614 1921 y Fn(3)675 1909 y Fp(>)k(\013)815
1921 y Fn(1)871 1909 y Fq(+)c Fp(\013)1007 1921 y Fn(4)1074
1909 y Fd(then)534 2076 y Fq(\006)594 2088 y Fk(1)688
2076 y Fq(=)775 1984 y Fi(n)841 2020 y Fp(\013)p 841
2057 54 4 v 847 2133 a Fq(2)923 2076 y Fx(\000)1016 2020
y Fp(\013)1069 2032 y Fn(1)p 1016 2057 92 4 v 1016 2133
a Fq(2)p Fp(n)1131 2006 y Fi(\014)1131 2055 y(\014)1188
2076 y Fp(n)23 b Fx(2)g Fl(N)1399 1984 y Fi(o)1469 2076
y Fp(;)568 2287 y Fq(\006)628 2299 y Fn(0)688 2287 y
Fq(=)775 2170 y Fi(\032)848 2231 y Fp(\013)p 848 2268
54 4 v 854 2344 a Fq(2)930 2287 y Fx(\000)1049 2231 y
Fp(\013)c Fx(\000)f Fq(2)p Fp(\013)1299 2243 y Fn(4)p
1023 2268 341 4 v 1023 2344 a Fq(2\(2)p Fp(n)f Fx(\000)h
Fq(1\))1387 2216 y Fi(\014)1387 2266 y(\014)1444 2287
y Fp(n)23 b(<)1902 2231 y(\013)1955 2243 y Fn(1)p 1615
2268 666 4 v 1615 2344 a Fp(\013)1668 2356 y Fn(2)1723
2344 y Fq(+)18 b Fp(\013)1859 2356 y Fn(3)1915 2344 y
Fx(\000)g Fp(\013)2051 2356 y Fn(1)2107 2344 y Fx(\000)g
Fp(\013)2243 2356 y Fn(4)2290 2287 y Fp(;)44 b(n)23 b
Fx(2)g Fl(N)2568 2170 y Fi(\033)2644 2287 y Fq(;)141
2479 y(\(2\))42 b Fd(if)30 b Fp(\013)422 2491 y Fn(2)478
2479 y Fq(+)18 b Fp(\013)614 2491 y Fn(3)675 2479 y Fp(<)k(\013)815
2491 y Fn(1)871 2479 y Fq(+)c Fp(\013)1007 2491 y Fn(4)1074
2479 y Fd(then)659 2671 y Fq(\006)719 2683 y Fk(1)812
2671 y Fq(=)900 2554 y Fi(\032)972 2615 y Fp(\013)p 972
2652 54 4 v 978 2728 a Fq(2)1054 2671 y Fx(\000)1174
2615 y Fp(\013)h Fx(\000)f Fq(2)p Fp(\013)1424 2627 y
Fn(4)p 1147 2652 341 4 v 1147 2728 a Fq(2\(2)p Fp(n)g
Fx(\000)g Fq(1\))1511 2601 y Fi(\014)1511 2650 y(\014)1569
2671 y Fp(n)23 b Fx(2)g Fl(N)1780 2554 y Fi(\033)1856
2671 y Fp(;)692 2904 y Fq(\006)752 2916 y Fn(0)812 2904
y Fq(=)900 2787 y Fi(\032)972 2848 y Fp(\013)p 972 2885
54 4 v 978 2961 a Fq(2)1054 2904 y Fx(\000)1148 2848
y Fp(\013)1201 2860 y Fn(1)p 1147 2885 92 4 v 1147 2961
a Fq(2)p Fp(n)1262 2833 y Fi(\014)1262 2883 y(\014)1320
2904 y Fp(n)f(<)1778 2848 y(\013)1831 2860 y Fn(1)p 1490
2885 666 4 v 1490 2961 a Fp(\013)1543 2973 y Fn(1)1599
2961 y Fq(+)c Fp(\013)1735 2973 y Fn(4)1791 2961 y Fx(\000)g
Fp(\013)1927 2973 y Fn(2)1983 2961 y Fx(\000)g Fp(\013)2119
2973 y Fn(3)2166 2904 y Fp(;)43 b(n)23 b Fx(2)h Fl(N)2444
2787 y Fi(\033)2520 2904 y Fq(;)141 3096 y(\(3\))42 b
Fd(if)30 b Fp(\013)422 3108 y Fn(2)478 3096 y Fq(+)18
b Fp(\013)614 3108 y Fn(3)675 3096 y Fq(=)k Fp(\013)815
3108 y Fn(1)871 3096 y Fq(+)c Fp(\013)1007 3108 y Fn(4)1074
3096 y Fd(then)919 3263 y Fq(\006)979 3275 y Fk(1)1072
3263 y Fq(=)1160 3171 y Fi(n)1225 3207 y Fp(\013)p 1225
3244 54 4 v 1231 3320 a Fq(2)1307 3263 y Fx(\000)1400
3207 y Fp(\013)1453 3219 y Fn(1)p 1400 3244 91 4 v 1420
3320 a Fp(n)1514 3193 y Fi(\014)1514 3243 y(\014)1571
3263 y Fp(n)23 b Fx(2)h Fl(N)1783 3171 y Fi(o)1852 3263
y Fp(;)99 b Fq(\006)2034 3275 y Fn(0)2094 3263 y Fq(=)23
b Fl(?)p Fp(:)0 3441 y Fy(Theorem)31 b(1.)142 3583 y
Fq(\006)217 3593 y Fn(~)202 3608 y Fo(D)256 3616 y Fj(4)289
3608 y Fo(;\037)372 3583 y Fx(\\)19 b Fq([0;)14 b Fp(\013=)p
Fq(2\))22 b(=)h(\006)887 3595 y Fk(1)976 3583 y Fx([)c
Fq(\006)1110 3595 y Fn(0)1165 3583 y Fx([)g Fq(\006)1299
3595 y Fn(1)1355 3583 y Fx([)f Fq(\006)1488 3549 y Fo(i)1488
3603 y Fn(2)1544 3583 y Fx([)h Fq(\006)1678 3595 y Fn(3)1734
3583 y Fx([)f Fq(\006)1867 3595 y Fn(4)1923 3583 y Fx([)h
Fq(\006)2057 3543 y Fo(j)2057 3605 y Fn(5)2094 3583 y
Fp(;)99 b(i)22 b Fq(=)h(2)p Fp(;)14 b Fq(3)p Fp(;)g Fq(4)p
Fp(;)97 b(j)28 b Fq(=)23 b(1)p Fp(;)14 b Fq(2)p Fp(;)g
Fq(3)p Fp(;)0 3728 y Fd(wher)l(e)0 3900 y Fq(\006)60
3912 y Fn(1)120 3900 y Fq(=)208 3783 y Fi(\032)280 3844
y Fp(\013)p 280 3881 54 4 v 286 3957 a Fq(2)362 3900
y Fx(\000)598 3844 y Fp(\013)p 455 3881 341 4 v 455 3957
a Fq(2\(4)p Fp(n)k Fx(\000)g Fq(1\))819 3829 y Fi(\014)819
3879 y(\014)877 3900 y Fp(n)k(<)1145 3844 y(\013)1198
3856 y Fn(4)p 1047 3881 287 4 v 1047 3957 a Fq(4)p Fp(\013)1142
3969 y Fn(4)1197 3957 y Fx(\000)c Fp(\013)1344 3900 y(;)43
b(n)23 b(<)1602 3844 y(\013)18 b Fx(\000)g Fp(\013)1809
3856 y Fn(1)p 1581 3881 V 1581 3957 a Fp(\013)h Fx(\000)f
Fq(4)p Fp(\013)1831 3969 y Fn(1)1878 3900 y Fp(;)43 b(n)23
b Fx(2)g Fl(N)2155 3783 y Fi(\033)2218 3900 y Fp(;)0
4132 y Fq(\006)60 4098 y Fo(i)60 4153 y Fn(2)120 4132
y Fq(=)208 4015 y Fi(\032)280 4076 y Fp(\013)p 280 4113
54 4 v 286 4189 a Fq(2)362 4132 y Fx(\000)460 4076 y
Fp(\013)513 4088 y Fo(i)p 455 4113 92 4 v 455 4189 a
Fq(2)p Fp(n)570 4062 y Fi(\014)570 4111 y(\014)627 4132
y Fp(n)g(<)1013 4076 y(\013)1066 4088 y Fo(i)p 798 4113
511 4 v 798 4189 a Fq(2)p Fp(\013)893 4201 y Fo(i)939
4189 y Fq(+)18 b(2)p Fp(\013)1117 4201 y Fn(4)1172 4189
y Fx(\000)g Fp(\013)1318 4132 y(;)44 b(n)23 b(<)1651
4076 y(\013)1704 4088 y Fo(i)p 1555 4113 273 4 v 1555
4189 a Fp(\013)1608 4201 y Fo(i)1655 4189 y Fx(\000)18
b Fp(\013)1791 4201 y Fn(1)1838 4132 y Fp(;)44 b(n)23
b(<)2173 4076 y(\013)2226 4088 y Fo(i)p 2075 4113 278
4 v 2075 4189 a Fq(4)p Fp(\013)2170 4201 y Fo(i)2216
4189 y Fx(\000)18 b Fp(\013)2362 4132 y(;)44 b(n)23 b
Fx(2)g Fl(N)2640 4015 y Fi(\033)2702 4132 y Fp(;)44 b(i)23
b Fq(=)f(2)p Fp(;)14 b Fq(3)p Fp(;)g Fq(4)p Fp(;)0 4365
y Fq(\006)60 4377 y Fn(3)120 4365 y Fq(=)208 4248 y Fi(\032)280
4308 y Fp(\013)p 280 4346 54 4 v 286 4422 a Fq(2)362
4365 y Fx(\000)482 4308 y Fp(\013)19 b Fx(\000)f Fq(2)p
Fp(\013)732 4320 y Fn(1)p 455 4346 341 4 v 455 4422 a
Fq(2\(2)p Fp(n)g Fq(+)g(1\))819 4294 y Fi(\014)819 4344
y(\014)877 4365 y Fp(n)k(<)1068 4308 y(\013)d Fx(\000)f
Fp(\013)1276 4320 y Fn(1)p 1047 4346 287 4 v 1047 4422
a Fp(\013)h Fx(\000)f Fq(4)p Fp(\013)1297 4434 y Fn(1)1344
4365 y Fp(;)43 b(n)23 b(<)1634 4308 y(\013)1687 4320
y Fn(2)1743 4308 y Fq(+)18 b Fp(\013)1879 4320 y Fn(3)p
1581 4346 389 4 v 1581 4422 a Fq(2\()p Fp(\013)1708 4434
y Fn(4)1763 4422 y Fx(\000)g Fp(\013)1899 4434 y Fn(1)1937
4422 y Fq(\))1979 4365 y Fp(;)44 b(n)p Fq(\(4)p Fp(\013)2223
4377 y Fo(i)2268 4365 y Fx(\000)19 b Fp(\013)p Fq(\))k
Fp(<)g(\013)2601 4377 y Fo(i)2629 4365 y Fp(;)43 b(n)23
b Fx(2)h Fl(N)2907 4248 y Fi(\033)2969 4365 y Fp(;)0
4597 y Fq(\006)60 4609 y Fn(4)120 4597 y Fq(=)208 4480
y Fi(\032)280 4541 y Fp(\013)p 280 4578 54 4 v 286 4654
a Fq(2)362 4597 y Fx(\000)598 4541 y Fp(\013)p 455 4578
341 4 v 455 4654 a Fq(2\(4)p Fp(n)18 b Fq(+)g(1\))819
4527 y Fi(\014)819 4576 y(\014)877 4597 y Fp(n)k(<)1068
4541 y(\013)d Fx(\000)f Fp(\013)1276 4553 y Fn(4)p 1047
4578 287 4 v 1047 4654 a Fq(4)p Fp(\013)1142 4666 y Fn(4)1197
4654 y Fx(\000)g Fp(\013)1344 4597 y(;)43 b(n)23 b(<)1679
4541 y(\013)1732 4553 y Fn(1)p 1581 4578 V 1581 4654
a Fp(\013)c Fx(\000)f Fq(4)p Fp(\013)1831 4666 y Fn(1)1878
4597 y Fp(;)43 b(n)23 b Fx(2)g Fl(N)2155 4480 y Fi(\033)2218
4597 y Fp(;)0 4830 y Fq(\006)60 4795 y Fo(i)60 4850 y
Fn(5)120 4830 y Fq(=)208 4712 y Fi(\032)280 4773 y Fp(\013)p
280 4810 54 4 v 286 4887 a Fq(2)362 4830 y Fx(\000)487
4773 y Fp(\013)18 b Fx(\000)g Fq(2)p Fp(\013)736 4785
y Fo(i)p 455 4810 341 4 v 455 4887 a Fq(2\(2)p Fp(n)g
Fq(+)g(1\))819 4830 y Fx(j)c Fp(n)23 b(<)1223 4773 y(\013)1276
4785 y Fn(1)p 1013 4810 511 4 v 1013 4887 a Fp(\013)c
Fx(\000)f Fq(2)p Fp(\013)1263 4899 y Fo(i)1308 4887 y
Fx(\000)g Fq(2)p Fp(\013)1486 4899 y Fn(1)1533 4830 y
Fp(;)28 b(n)23 b(<)1839 4773 y(\013)1892 4785 y Fo(i)p
1741 4810 278 4 v 1741 4887 a Fp(\013)18 b Fx(\000)g
Fq(4)p Fp(\013)1990 4899 y Fo(i)2028 4830 y Fp(;)27 b(n)c(<)2235
4773 y(\013)c Fx(\000)f Fp(\013)2443 4785 y Fn(4)2499
4773 y Fx(\000)g Fp(\013)2635 4785 y Fo(i)p 2235 4810
428 4 v 2259 4887 a Fq(2\()p Fp(\013)2386 4899 y Fn(4)2442
4887 y Fx(\000)g Fp(\013)2578 4899 y Fo(i)2606 4887 y
Fq(\))2672 4830 y Fp(;)28 b(n)23 b Fx(2)9 b Fl(N)19 b
Fx([)g(f)p Fq(0)p Fx(g)3125 4712 y Fi(\033)3186 4830
y Fp(;)2843 4999 y(i)j Fq(=)h(1)p Fp(;)14 b Fq(2)p Fp(;)g
Fq(3)p Fp(:)0 5153 y Fy(Corollary)32 b(1.)41 b Fd(By)29
b(using)g(the)h(structur)l(e)d(of)j Fq(\006)1545 5163
y Fn(~)1530 5178 y Fo(D)1584 5186 y Fj(4)1617 5178 y
Fo(;\037)1711 5153 y Fd(given)g(by)g(the)f(latter)g(the)l(or)l(em)g
(one)h(c)l(an)f(show)0 5260 y(that)h(the)g(set)f Fq(\006)512
5270 y Fn(~)497 5285 y Fo(D)551 5293 y Fj(4)584 5286
y Fo(;\037)679 5260 y Fd(c)l(ontains)h(the)g(only)g(limit)g(p)l(oint)g
Fp(!)1800 5270 y Fn(~)1785 5285 y Fo(D)1839 5293 y Fj(4)1876
5260 y Fq(\()p Fp(\037)p Fq(\))p Fd(.)p eop end
%%Page: 4 4
TeXDict begin 4 3 bop 0 50 a Fn(4)1150 b(K)n(OSTY)-5
b(ANTYN)23 b(YUSENK)n(O)514 249 y Fq(2.)41 b Fr(Co)n(xeter)32
b(functors)g(and)f(ev)n(olution)g(of)g(chara)n(cters)100
399 y Fq(The)23 b(p)r(o)n(w)n(erful)f(to)r(ol)g(for)h(in)n(v)n
(estigation)e(algebras)g Fx(P)1743 411 y Fn(\000)p Fo(;\037;\015)1930
399 y Fq(is)i(the)g(re\015ection)f(\(Co)n(xeter\))g(functors.)0
498 y(Namely)h(there)h(exist)f(t)n(w)n(o)g(functors)g([3])h(linear)e
Fp(S)29 b Fq(and)23 b(h)n(yp)r(erb)r(olic)g Fp(T)12 b
Fq(,)24 b(whic)n(h)f(establish)h(the)g(equiv-)0 598 y(alence)34
b(of)h(categories)e(of)i Fx(\003)p Fq(-represen)n(tation)e(of)i(the)g
(algebras)e Fx(P)2112 610 y Fn(\000)p Fo(;\037;\015)2276
598 y Fq(.)59 b(These)35 b(actions)f(b)r(et)n(w)n(een)0
697 y(categories)26 b(giv)n(e)g(rise)h(to)h(the)g(action)f(on)g(the)h
(pairs)f(\()p Fp(\037)p Fq(;)14 b Fp(\015)5 b Fq(\))27
b(as)g(follo)n(ws:)1206 843 y Fp(S)h Fq(:)23 b(\()p Fp(\037)p
Fq(;)14 b Fp(\015)5 b Fq(\))23 b Fx(7\000)-15 b(!)24
b Fq(\()p Fp(\037)1796 809 y Fk(0)1819 843 y Fq(;)14
b Fp(\015)1904 809 y Fk(0)1927 843 y Fq(\))p Fp(;)529
1017 y(\037)581 982 y Fk(0)627 1017 y Fq(=)23 b(\()p
Fp(\013)800 982 y Fn(\(1\))800 1037 y Fo(m)859 1045 y
Fj(1)914 1017 y Fx(\000)18 b Fp(\013)1050 973 y Fn(\(1\))1050
1039 y Fo(m)1109 1047 y Fj(1)1142 1039 y Fk(\000)p Fn(1)1231
1017 y Fp(;)c(:)g(:)g(:)f(;)h(\013)1468 982 y Fn(\(1\))1468
1037 y Fo(m)1527 1045 y Fj(1)1564 1017 y Fq(;)g Fp(:)g(:)g(:)f
Fq(;)h Fp(\013)1801 982 y Fn(\()p Fo(n)p Fn(\))1801 1037
y Fo(m)1860 1045 y Fm(n)1924 1017 y Fx(\000)k Fp(\013)2060
973 y Fn(\()p Fo(n)p Fn(\))2060 1039 y Fo(m)2119 1047
y Fm(n)2159 1039 y Fk(\000)p Fn(1)2249 1017 y Fp(;)c(:)g(:)g(:)f(;)h
(\013)2486 982 y Fn(\()p Fo(n)p Fn(\))2486 1037 y Fo(m)2545
1045 y Fm(n)2590 1017 y Fq(\))p Fp(;)1115 1173 y(\015)1163
1139 y Fk(0)1208 1173 y Fq(=)23 b Fp(\013)1349 1139 y
Fn(\(1\))1349 1194 y Fo(m)1408 1202 y Fj(1)1463 1173
y Fq(+)18 b Fx(\001)c(\001)g(\001)k Fq(+)g Fp(\013)1797
1139 y Fn(\()p Fo(n)p Fn(\))1797 1194 y Fo(m)1856 1202
y Fm(n)1920 1173 y Fx(\000)g Fp(\015)5 b Fq(;)1206 1413
y Fp(T)34 b Fq(:)23 b(\()p Fp(\037)p Fq(;)14 b Fp(\015)5
b Fq(\))23 b Fx(7\000)-14 b(!)23 b Fq(\()p Fp(\037)1800
1378 y Fk(00)1842 1413 y Fq(;)14 b Fp(\015)5 b Fq(\))p
Fp(;)574 1568 y(\037)626 1534 y Fk(00)691 1568 y Fq(=)23
b(\()p Fp(\015)g Fx(\000)18 b Fp(\013)1013 1534 y Fn(\(1\))1013
1589 y Fo(m)1072 1597 y Fj(1)1109 1568 y Fp(;)c(:)g(:)g(:)f(;)h(\015)23
b Fx(\000)18 b Fp(\013)1495 1525 y Fn(\(1\))1495 1591
y(1)1585 1568 y Fq(;)c Fp(:)g(:)g(:)f Fq(;)h Fp(\015)23
b Fx(\000)18 b Fp(\013)1971 1534 y Fn(\()p Fo(n)p Fn(\))1971
1589 y Fo(m)2030 1597 y Fm(n)2075 1568 y Fp(;)c(:)g(:)g(:)g(;)g(\015)23
b Fx(\000)18 b Fp(\013)2462 1525 y Fn(\()p Fo(n)p Fn(\))2462
1591 y(1)2559 1568 y Fq(\))p Fp(:)100 1697 y Fq(The)24
b(main)g(idea)h(is)f(to)g(tak)n(e)g(the)h(pair)e(\()p
Fp(\037)p Fq(;)14 b Fp(\015)5 b Fq(\),)25 b(suc)n(h)g(that)f(the)h
(structure)f(of)g(the)h(represen)n(tations)0 1796 y(of)35
b Fx(P)160 1808 y Fn(\000)p Fo(;\037;\015)360 1796 y
Fq(is)g(kno)n(wn,)i(and)e(apply)g Fp(S)40 b Fq(and)35
b Fp(T)47 b Fq(functors)35 b(to)g(build)h(the)g(whole)f(series)f(of)h
(algebras)0 1896 y(whic)n(h)28 b(has)f(the)h(same)f(structure)g(of)g
(the)h(represen)n(tations)e(as)h(the)h(algebra)e(w)n(e)h(started)g
(with.)100 1996 y(T)-7 b(o)25 b(mak)n(e)f(use)h(of)g(this)h(tec)n
(hnique)f(w)n(e)g(\014rst)g(study)h(the)f(ev)n(olution)g(of)g(the)h
(pair)e(\()p Fp(\037)p Fq(;)14 b Fp(\015)5 b Fq(\))26
b(under)f(the)0 2095 y(action)j(of)g(Co)n(xeter)f(functors.)40
b(In)28 b(general)f(case)h(for)g(an)g(arbitrary)e(graph)i(\000)g(the)h
(form)n(ulas)e(of)i(the)0 2195 y(ev)n(olution)g(could)i(b)r(e)f
(complicated,)h(but)g(for)f(the)g(case)g(where)g(\000)g(is)g(an)g
(extended)h(Dynkin)f(graph)0 2295 y(the)e(results)f(of)h([9)o(])g(giv)n
(e)f(an)g(explicit)h(form)n(ulae)e(for)h(the)h(p)r(o)n(w)n(ers)e(of)i
(\()p Fp(S)5 b(T)12 b Fq(\))2358 2264 y Fo(k)2393 2272
y Fj(\000)2463 2295 y Fq(functor.)100 2394 y(Let)34 b
Fp(!)s Fq(\()p Fp(\037)p Fq(\))g(b)r(e)g(a)g(p)r(ositiv)n(e)g
(functional)g(on)g(the)g(set)g(of)g(c)n(haracters.)54
b(W)-7 b(e)34 b(sa)n(y)f(that)h Fp(!)s Fq(\()p Fp(\037)p
Fq(\))h(is)e(an)0 2494 y(in)n(v)-5 b(arian)n(t)26 b(functional)i(if)g
(the)g(follo)n(wing)f(conditions)g(holds:)1065 2640 y
Fp(S)h Fq(:)23 b(\()p Fp(\037)p Fq(;)14 b Fp(!)s Fq(\()p
Fp(\037)p Fq(\)\))24 b Fx(7\000)-14 b(!)23 b Fq(\()p
Fp(\037)1779 2605 y Fk(0)1802 2640 y Fq(;)14 b Fp(!)s
Fq(\()p Fp(\037)1978 2605 y Fk(0)2001 2640 y Fq(\)\))p
Fp(;)1061 2773 y(T)34 b Fq(:)23 b(\()p Fp(\037)p Fq(;)14
b Fp(!)s Fq(\()p Fp(\037)p Fq(\)\))24 b Fx(7\000)-14
b(!)23 b Fq(\()p Fp(\037)1779 2739 y Fk(00)1821 2773
y Fq(;)14 b Fp(!)s Fq(\()p Fp(\037)1997 2739 y Fk(00)2040
2773 y Fq(\)\))p Fp(:)0 2924 y Fq(The)20 b(results)f([9])g(pro)n(v)n(e)
g(that)h(if)g(\000)g(is)f(an)h(extended)g(Dynkin)g(graph)e(then)j
(there)e(is)h(the)g(only)f(in)n(v)-5 b(arian)n(t)0 3024
y(functional:)897 3188 y Fp(!)964 3198 y Fn(~)949 3213
y Fo(D)1003 3221 y Fj(4)1040 3188 y Fq(\()p Fp(\037)p
Fq(\))23 b(=)1277 3132 y(1)p 1277 3169 42 4 v 1277 3245
a(2)1328 3188 y(\()p Fp(\013)1413 3145 y Fn(\(1\))1413
3210 y(1)1522 3188 y Fq(+)18 b Fp(\013)1658 3145 y Fn(\(2\))1658
3210 y(1)1766 3188 y Fq(+)g Fp(\013)1902 3145 y Fn(\(3\))1902
3210 y(1)2010 3188 y Fq(+)g Fp(\013)2146 3145 y Fn(\(4\))2146
3210 y(1)2235 3188 y Fq(\))p Fp(;)656 3388 y(!)723 3398
y Fn(~)708 3413 y Fo(E)757 3421 y Fj(6)793 3388 y Fq(\()p
Fp(\037)p Fq(\))24 b(=)1030 3332 y(1)p 1030 3369 V 1030
3445 a(3)1082 3388 y(\()p Fp(\013)1167 3345 y Fn(\(1\))1167
3410 y(1)1275 3388 y Fq(+)18 b Fp(\013)1411 3345 y Fn(\(1\))1411
3410 y(2)1519 3388 y Fq(+)g Fp(\013)1655 3345 y Fn(\(2\))1655
3410 y(1)1763 3388 y Fq(+)g Fp(\013)1899 3345 y Fn(\(2\))1899
3410 y(2)2007 3388 y Fq(+)g Fp(\013)2143 3345 y Fn(\(3\))2143
3410 y(1)2251 3388 y Fq(+)g Fp(\013)2387 3345 y Fn(\(3\))2387
3410 y(2)2477 3388 y Fq(\))p Fp(;)513 3588 y(!)580 3598
y Fn(~)565 3613 y Fo(E)614 3621 y Fj(7)650 3588 y Fq(\()p
Fp(\037)p Fq(\))24 b(=)887 3532 y(1)p 887 3569 V 887
3645 a(4)939 3588 y(\()p Fp(\013)1024 3545 y Fn(\(1\))1024
3610 y(1)1132 3588 y Fq(+)18 b Fp(\013)1268 3545 y Fn(\(1\))1268
3610 y(2)1376 3588 y Fq(+)g Fp(\013)1512 3545 y Fn(\(1\))1512
3610 y(3)1620 3588 y Fq(+)g Fp(\013)1756 3545 y Fn(\(2\))1756
3610 y(1)1864 3588 y Fq(+)g Fp(\013)2000 3545 y Fn(\(2\))2000
3610 y(2)2108 3588 y Fq(+)g Fp(\013)2244 3545 y Fn(\(2\))2244
3610 y(3)2352 3588 y Fq(+)g(2)p Fp(\013)2530 3545 y Fn(\(3\))2530
3610 y(1)2619 3588 y Fq(\))p Fp(;)350 3788 y(!)416 3798
y Fn(~)402 3813 y Fo(E)451 3821 y Fj(8)487 3788 y Fq(\()p
Fp(\037)p Fq(\))23 b(=)724 3731 y(1)p 724 3768 V 724
3844 a(6)775 3788 y(\()p Fp(\013)860 3744 y Fn(\(1\))860
3810 y(1)969 3788 y Fq(+)18 b Fp(\013)1105 3744 y Fn(\(1\))1105
3810 y(2)1213 3788 y Fq(+)g Fp(\013)1349 3744 y Fn(\(1\))1349
3810 y(3)1457 3788 y Fq(+)g Fp(\013)1593 3744 y Fn(\(1\))1593
3810 y(4)1701 3788 y Fq(+)g Fp(\013)1837 3744 y Fn(\(1\))1837
3810 y(5)1945 3788 y Fq(+)g(2)p Fp(\013)2123 3744 y Fn(\(2\))2123
3810 y(1)2230 3788 y Fq(+)g(2)p Fp(\013)2408 3744 y Fn(\(2\))2408
3810 y(2)2516 3788 y Fq(+)g(3)p Fp(\013)2694 3744 y Fn(\(3\))2694
3810 y(1)2783 3788 y Fq(\))p Fp(:)0 4086 y Fq(Recall)27
b(that)h(in)g(case)f(where)h Fp(\015)f Fq(=)c Fp(!)1154
4098 y Fn(\000)1199 4086 y Fq(\()p Fp(\037)p Fq(\))29
b(the)f(algebras)d Fx(P)1868 4101 y Fn(\000)p Fo(;\037;!)2032
4109 y Fj(\000)2071 4101 y Fn(\()p Fo(\037)p Fn(\))2196
4086 y Fq(are)i(PI-algebra)e(\(see)j([5)o(]\))g(and)0
4185 y(their)20 b(irreducible)g(represen)n(tations)f(are)g(of)h
(dimension)h(not)f(greater)f(that)i(2,3,4)e(and)h(6)g(resp)r(ectiv)n
(ely)0 4286 y(for)27 b(the)289 4265 y(~)270 4286 y Fp(D)339
4298 y Fn(4)376 4286 y Fq(,)446 4265 y(~)427 4286 y Fp(E)488
4298 y Fn(6)525 4286 y Fq(,)595 4265 y(~)576 4286 y Fp(E)637
4298 y Fn(7)675 4286 y Fq(,)g(and)906 4265 y(~)887 4286
y Fp(E)948 4298 y Fn(8)1013 4286 y Fq(graphs.)100 4387
y(Put)g Fp(p)304 4399 y Fn(\000)372 4387 y Fq(=)c(2)p
Fp(;)14 b Fq(3)p Fp(;)g Fq(4)p Fp(;)g Fq(6)26 b(for)h(\000)c(=)1074
4366 y(~)1055 4387 y Fp(D)1124 4399 y Fn(4)1161 4387
y Fq(,)1231 4366 y(~)1212 4387 y Fp(E)1273 4399 y Fn(6)1310
4387 y Fq(,)1380 4366 y(~)1361 4387 y Fp(E)1422 4399
y Fn(7)1460 4387 y Fq(,)k(and)1691 4366 y(~)1672 4387
y Fp(E)1733 4399 y Fn(8)1798 4387 y Fq(resp)r(ectiv)n(ely)-7
b(.)37 b(The)27 b(ev)n(olution)g(of)h(the)g(pair)0 4487
y(\()p Fp(\037)p Fq(;)14 b Fp(\015)5 b Fq(\))24 b(under)f(the)i(action)
e(of)h(the)g(p)r(o)n(w)n(ers)e(of)i(\()p Fp(S)5 b(T)12
b Fq(\))1614 4457 y Fo(p)1648 4465 y Fj(\000)1686 4457
y Fn(\()p Fo(p)1746 4465 y Fj(\000)1785 4457 y Fk(\000)p
Fn(1\))1924 4487 y Fq(functor)23 b(could)h(b)r(e)g(written)g(as)f
(follo)n(ws:)0 4643 y Fy(Theorem)31 b(2.)40 b Fq(\(see)27
b([9)o(]\).)39 b Fd(L)l(et)29 b Fq(\000)g Fd(b)l(e)g(an)g(extende)l(d)g
(Dynkin)g(gr)l(aph)i(then)e(fol)t(lowing)i(formula)g(holds)0
4796 y Fq(\(1\))258 b(\()p Fp(S)5 b(T)12 b Fq(\))545
4762 y Fo(p)579 4770 y Fj(\000)618 4762 y Fn(\()p Fo(p)678
4770 y Fj(\000)716 4762 y Fk(\000)p Fn(1\))p Fo(k)868
4796 y Fq(\()p Fp(\037)p Fq(;)i Fp(\015)5 b Fq(\))23
b(=)g(\()p Fp(\037)c Fx(\000)f Fp(k)s(p)1454 4808 y Fn(\000)1498
4796 y Fq(\()p Fp(!)1582 4808 y Fn(\000)1627 4796 y Fq(\()p
Fp(\037)p Fq(\))h Fx(\000)f Fp(\015)5 b Fq(\))p Fp(\037)1977
4808 y Fn(\000)2023 4796 y Fq(;)14 b Fp(\015)22 b Fx(\000)c
Fp(k)s(p)2296 4762 y Fn(2)2296 4816 y(\000)2341 4796
y Fq(\()p Fp(!)2425 4808 y Fn(\000)2470 4796 y Fq(\()p
Fp(\037)p Fq(\))h Fx(\000)f Fp(\015)5 b Fq(\)\))p Fp(;)0
4942 y Fd(wher)l(e)30 b Fp(\037)286 4954 y Fn(\000)361
4942 y Fd(is)g(sp)l(e)l(cial)h(char)l(acter)g(on)f Fq(\000)g(\(see)d
([10)o(]\).)100 5098 y(Applying)g(\()p Fp(S)5 b(T)12
b Fq(\))28 b(functor)f(to)h(\(1\))g(w)n(e)f(can)g(obtain)h(the)g(ev)n
(olution)e(of)i(the)g(pair)f(\()p Fp(\037)p Fq(;)14 b
Fp(\015)5 b Fq(\))28 b(under)f(an)0 5197 y(action)h(of)h(an)f
(arbitrary)f(p)r(o)n(w)n(er)g Fp(k)h Fx(2)d Fl(N)k Fq(of)f(\()p
Fp(S)5 b(T)12 b Fq(\))1576 5167 y Fo(k)1645 5197 y Fq(\(in)30
b(what)e(follo)n(ws)g(w)n(e)g(denote)h(b)n(y)f(\()q Fp(\037)p
Fq(\()p Fp(k)s Fq(\);)14 b Fp(\015)5 b Fq(\()p Fp(k)s
Fq(\)\))0 5297 y(an)27 b(image)g(of)h(the)g(pair)f(\()p
Fp(\037)p Fq(;)14 b Fp(\015)5 b Fq(\))27 b(under)h(an)f(action)g(of)h
(\()p Fp(S)5 b(T)12 b Fq(\))1868 5267 y Fo(k)1935 5297
y Fq(functor\).)p eop end
%%Page: 5 5
TeXDict begin 5 4 bop 426 50 a Fn(ON)29 b(EXISTENCE)f(OF)h
Fk(\003)p Fn(-REPRESENT)-5 b(A)g(TIONS)28 b(OF)h(CER)-5
b(T)g(AIN)29 b(ALGEBRAS)g Fo(:)11 b(:)g(:)393 b Fn(5)0
249 y Fy(Prop)s(osition)32 b(1.)42 b Fd(The)33 b(action)f(of)g
Fq(\()p Fp(S)5 b(T)12 b Fq(\))1341 219 y Fo(k)1413 249
y Fd(functor)31 b(on)h(the)g(p)l(air)g Fq(\()p Fp(\037)p
Fq(;)14 b Fp(\015)5 b Fq(\))32 b Fd(c)l(ould)g(b)l(e)f(written)g(in)h
(the)0 349 y(fol)t(lowing)g(way:)0 494 y Fq(\(2\))210
b(\()p Fp(S)5 b(T)12 b Fq(\))497 459 y Fo(k)537 494 y
Fq(\()p Fp(\037)p Fq(;)i Fp(\015)5 b Fq(\))23 b(=)g(\()p
Fp(f)922 506 y Fn(1)p Fo(;k)1015 494 y Fq(\()p Fp(\037)p
Fq(\))c Fx(\000)f Fq(\()p Fp(!)1317 506 y Fn(\000)1362
494 y Fq(\()p Fp(\037)p Fq(\))h Fx(\000)f Fp(\015)5 b
Fq(\))p Fp(f)1701 506 y Fn(2)p Fo(;k)1794 494 y Fq(\()p
Fp(\037)1878 506 y Fn(\000)1924 494 y Fq(\);)14 b Fp( )2047
506 y Fn(1)p Fo(;k)2159 494 y Fx(\000)k Fq(\()p Fp(!)2326
506 y Fn(\000)2371 494 y Fq(\()p Fp(\037)p Fq(\))h Fx(\000)f
Fp(\015)5 b Fq(\))p Fp( )2723 506 y Fn(2)p Fo(;k)2817
494 y Fq(\))p Fp(;)0 639 y Fd(wher)l(e)39 b(the)f(char)l(acters)h
Fp(f)837 651 y Fn(1)p Fo(;k)931 639 y Fq(\()p Fp(\037)p
Fq(\))f Fd(and)h Fp(f)1296 651 y Fn(2)p Fo(;k)1389 639
y Fq(\()p Fp(\037)1473 651 y Fn(\000)1519 639 y Fq(\))p
Fd(,)i(and)e(the)f(numb)l(ers)f Fp( )2325 651 y Fn(1)p
Fo(;k)2457 639 y Fd(and)i Fp( )2681 651 y Fn(2)p Fo(;k)2813
639 y Fd(satisfy)g(the)0 738 y(fol)t(lowing)32 b(pr)l(op)l(erties:)154
860 y(\(i\))42 b(if)30 b Fp(k)412 872 y Fn(1)473 860
y Fx(\021)23 b Fp(k)604 872 y Fn(2)678 860 y Fq(\(mo)r(d)28
b Fp(p)939 872 y Fn(\000)984 860 y Fq(\()p Fp(p)1058
872 y Fn(\000)1122 860 y Fx(\000)18 b Fq(1\)\))29 b Fd(then)h
Fp(f)1566 872 y Fn(1)p Fo(;k)1654 880 y Fj(1)1690 860
y Fq(\()p Fp(\037)p Fq(\))24 b(=)f Fp(f)1959 872 y Fn(1)p
Fo(;k)2047 880 y Fj(2)2083 860 y Fq(\()p Fp(\037)p Fq(\))30
b Fd(and)g Fp( )2444 872 y Fn(1)p Fo(;k)2532 880 y Fj(1)2592
860 y Fq(=)23 b Fp( )2734 872 y Fn(1)p Fo(;k)2822 880
y Fj(2)2859 860 y Fd(;)128 960 y(\(ii\))43 b(the)38 b(c)l(omp)l(onents)
g(of)h Fp(f)1038 972 y Fn(2)p Fo(;k)1131 960 y Fq(\()p
Fp(\037)1215 972 y Fn(\000)1261 960 y Fq(\))f Fd(and)h(the)f(numb)l
(ers)f Fp( )2039 972 y Fn(2)p Fo(;k)2171 960 y Fd(ar)l(e)i(de\014ne)l
(d)f(in)g(the)h(fol)t(lowing)289 1060 y(way:)734 1240
y Fp(f)775 1252 y Fn(2)p Fo(;k)869 1240 y Fq(\()p Fp(\037)953
1252 y Fn(\000)998 1240 y Fq(\))1030 1197 y Fn(\()p Fo(j)s
Fn(\))1030 1263 y Fo(i)1140 1240 y Fq(=)1228 1098 y Fi(")1286
1184 y Fq(\()p Fp(\037)1370 1196 y Fn(\000)1416 1184
y Fq(\))1448 1141 y Fn(\()p Fo(j)s Fn(\))1448 1207 y
Fo(i)p 1286 1221 249 4 v 1295 1297 a Fp(p)1337 1309 y
Fn(\000)1401 1297 y Fx(\000)18 b Fq(1)1545 1240 y Fp(k)1591
1098 y Fi(#)1653 1240 y Fp(;)99 b( )1829 1252 y Fn(2)p
Fo(;k)1946 1240 y Fq(=)2033 1123 y Fi(\024)2159 1184
y Fp(p)2201 1196 y Fn(\000)p 2087 1221 230 4 v 2087 1297
a Fp(p)2129 1309 y Fn(\000)2193 1297 y Fx(\000)18 b Fq(1)2327
1240 y Fp(k)2373 1123 y Fi(\025)2431 1240 y Fq(;)103
1447 y Fd(\(iii\))43 b Fp(f)330 1462 y Fn(1)p Fo(;p)417
1470 y Fj(\000)455 1462 y Fn(\()p Fo(p)515 1470 y Fj(\000)554
1462 y Fk(\000)p Fn(1\))p Fo(k)729 1447 y Fq(=)22 b Fp(\037)p
Fd(,)30 b Fp(f)964 1462 y Fn(2)p Fo(;p)1051 1470 y Fj(\000)1090
1462 y Fn(\()p Fo(p)1150 1470 y Fj(\000)1189 1462 y Fk(\000)p
Fn(1\))p Fo(k)1363 1447 y Fq(=)23 b Fp(k)s(p)1539 1459
y Fn(\000)1584 1447 y Fp(\037)1636 1459 y Fn(\000)1681
1447 y Fd(,)30 b Fp( )1790 1459 y Fn(1)p Fo(;k)1907 1447
y Fq(=)23 b Fp(\015)5 b Fd(,)29 b(and)i Fp( )2313 1459
y Fn(2)p Fo(;k)2429 1447 y Fq(=)23 b Fp(k)s(p)2605 1417
y Fn(2)2605 1470 y(\000)2650 1447 y Fd(.)0 1603 y(Pr)l(o)l(of.)43
b Fq(Direct)28 b(calculations)e(using)i(form)n(ula)e(\(1\).)1507
b Fe(\003)0 1768 y Fd(R)l(emark)35 b Fq(1)p Fd(.)k Fq(Prop)r(ert)n(y)22
b(\(i\))j(means)f(that)g(the)g(orbits)g(of)g(the)g Fp(f)1947
1780 y Fn(1)p Fo(;)p Fn(0)2037 1768 y Fq(\()p Fp(\037)p
Fq(\))h(and)f Fp( )2390 1780 y Fn(1)p Fo(;)p Fn(0)2504
1768 y Fq(under)g(the)h(action)e(of)0 1867 y(\()p Fp(S)5
b(T)12 b Fq(\))26 b(functor)h(is)g(\014nite)h(and)f(its)g(length)g
(equal)f(to)h Fp(p)1680 1879 y Fn(\000)1725 1867 y Fq(\()p
Fp(p)1799 1879 y Fn(\000)1862 1867 y Fx(\000)17 b Fq(1\).)36
b(The)27 b(form)n(ulas)f(for)h(the)g(c)n(haractes)0 1967
y Fp(f)41 1979 y Fn(1)p Fo(;k)169 1967 y Fq(and)35 b(n)n(um)n(b)r(ers)g
Fp( )735 1979 y Fn(1)p Fo(;k)864 1967 y Fq(are)f(complicated)g(\(unlik)
n(e)i(c)n(haracters)c Fp(f)2206 1979 y Fn(2)p Fo(;k)2300
1967 y Fq(\()p Fp(\037)2384 1979 y Fn(\000)2429 1967
y Fq(\))k(and)e(n)n(um)n(b)r(ers)h Fp( )3062 1979 y Fn(2)p
Fo(;k)3156 1967 y Fq(\))0 2067 y(and)g(w)n(e)f(do)h(not)g(giv)n(e)f
(the)h(list)g(of)g(their)g(ev)n(olutions)f(\(this)h(list)g(con)n(tains)
f(30)g(items)i(in)f(the)g(case)0 2172 y(where)27 b(\000)c(=)422
2151 y(~)403 2172 y Fp(E)464 2184 y Fn(8)501 2172 y Fq(\).)37
b(Nev)n(ertheless)27 b(using)g(\(1\))h(one)f(can)g(compute)h(their)g(v)
-5 b(alues.)836 2371 y(3.)41 b Fr(Str)n(ucture)32 b(pr)n(oper)-6
b(ties)33 b(of)f(set)f Fq(\006)2245 2383 y Fn(\000)p
Fo(;\037)0 2521 y Fy(De\014nition)j(1.)42 b Fd(L)l(et)32
b Fp(\031)f Fq(:)d Fx(P)899 2533 y Fn(\000)p Fo(;\037;\015)1091
2521 y Fx(!)f Fp(L)p Fq(\()p Fx(H)q Fq(\))33 b Fd(b)l(e)f(a)h(\014nite)
e(dimensional)j Fx(\003)p Fd(-r)l(epr)l(esentation)e(in)h(some)0
2620 y(Hilb)l(ert)27 b(sp)l(ac)l(e)i Fx(H)q Fd(.)37 b(We)28
b(c)l(al)t(l)g(the)g(ve)l(ctor)g Fp(d)f Fd(the)h(gener)l(alize)l(d)h
(dimension)f(of)g Fp(\031)s Fd(,)h(which)g(is)f(de\014ne)l(d)g(as)0
2720 y(fol)t(lows)293 2876 y Fp(d)336 2888 y Fn(0)396
2876 y Fq(=)23 b(dim\()p Fx(H)q Fq(\))p Fp(;)99 b(d)922
2833 y Fn(\()p Fo(j)s Fn(\))922 2899 y Fo(i)1032 2876
y Fq(=)23 b(dim\(Im)q(\()p Fp(\031)s Fq(\()p Fp(p)1546
2833 y Fn(\()p Fo(j)s Fn(\))1546 2899 y Fo(i)1633 2876
y Fq(\)\)\))p Fp(;)100 b(j)28 b Fq(=)23 b(1)p Fp(;)14
b(:)g(:)g(:)f(;)h(n;)98 b(i)23 b Fq(=)g(1)p Fp(;)14 b(:)g(:)g(:)f(;)h
(m)2838 2888 y Fo(j)2872 2876 y Fp(:)100 3032 y Fq(One)21
b(can)f(extend)i(the)g(action)e(of)h(the)h(functors)f
Fp(S)26 b Fq(and)21 b Fp(T)33 b Fq(on)21 b(the)g(set)g(of)h
(generalized)d(dimensions)0 3131 y(\(see)28 b(for)f(example)g([3)o
(]\).)0 3287 y Fy(Lemma)32 b(2.)40 b Fd(The)31 b(sets)e
Fq(\006)847 3299 y Fn(\000)p Fo(;\037)983 3287 y Fd(satisfy)i(the)f
(fol)t(lowing)i(pr)l(op)l(erties)154 3487 y(\(i\))42
b Fq(\006)349 3499 y Fn(\000)p Fo(;\037)478 3487 y Fx(\032)566
3345 y Fi(")614 3487 y Fq(0;)730 3408 y Fo(n)706 3425
y Fi(P)693 3560 y Fo(j)s Fn(=1)821 3487 y Fp(\037)873
3444 y Fn(\()p Fo(j)s Fn(\))873 3496 y Fo(m)932 3504
y Fm(j)967 3345 y Fi(#)1030 3487 y Fp(;)128 3686 y Fd(\(ii\))h
Fq(\006)349 3698 y Fn(\000)p Fo(;\037)478 3686 y Fx(3)572
3623 y Fi(P)557 3760 y Fo(j)s Fk(2)p Fo(J)688 3686 y
Fp(\037)740 3642 y Fn(\()p Fo(j)s Fn(\))740 3695 y Fo(m)799
3703 y Fm(j)834 3686 y Fp(;)74 b(J)31 b Fx(\032)22 b(f)p
Fq(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(n)p Fx(g)p Fp(:)0 3930
y Fd(Pr)l(o)l(of.)43 b Fq(Let)26 b(us)f(for)g(example)g(pro)n(v)n(e)e
(prop)r(ert)n(y)i(\()p Fp(ii)p Fq(\).)36 b(Clear)24 b(that)i(in)f(this)
h(case)f(pro)5 b(jections)24 b Fp(P)3014 3887 y Fn(\()p
Fo(j)s Fn(\))3002 3940 y Fo(m)3061 3948 y Fm(j)3123 3930
y Fq(=)0 4051 y Fp(I)7 b(;)26 b Fq(if)h Fp(j)h Fx(2)23
b Fp(J)35 b Fq(and)26 b Fp(P)613 4008 y Fn(\()p Fo(j)s
Fn(\))601 4075 y Fo(i)723 4051 y Fq(=)c(0)p Fp(;)k Fq(if)h
Fp(j)h Fx(2)23 b Fp(J)o(;)40 b(i)23 b Fx(6)p Fq(=)f Fp(m)1436
4063 y Fo(j)1498 4051 y Fq(or)j Fp(j)37 b(=)-51 b Fx(2)23
b Fp(J)o(;)40 b(i)23 b Fx(2)g Fq(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(m)2275
4063 y Fo(j)2336 4051 y Fq(form)26 b(the)h(represen)n(tation)0
4151 y(of)h Fx(P)153 4163 y Fn(\000)p Fo(;\037;\015)317
4151 y Fq(.)2783 b Fe(\003)100 4315 y Fq(Kno)n(wing)27
b(the)i(set)g(\006)784 4327 y Fn(\000)p Fo(;\037)909
4315 y Fx(\\)20 b Fq([0)p Fp(;)14 b(!)1138 4327 y Fn(\000)1182
4315 y Fq(\()p Fp(\037)p Fq(\)])30 b(one)e(can)g(restore)g(the)h(whole)
f(set)h(\006)2503 4327 y Fn(\000)p Fo(;\037)2638 4315
y Fq(since)g(functor)f Fp(S)0 4415 y Fq(establish)34
b(bijectiv)n(e)h(corresp)r(ondense)e(b)r(et)n(w)n(een)i(the)g(set)g
(\006)1944 4427 y Fn(\000)p Fo(;\037)2051 4415 y Fx(n)p
Fq([0)p Fp(;)14 b(!)2247 4427 y Fn(\000)2290 4415 y Fq(\()p
Fp(\037)p Fq(\)])36 b(and)f(the)g(set)g(\006)2981 4427
y Fn(\000)p Fo(;\037)3083 4411 y Fc(0)3133 4415 y Fx(\\)0
4515 y Fq([0)p Fp(;)14 b(!)154 4527 y Fn(\000)198 4515
y Fq(\()p Fp(\037)282 4484 y Fk(0)306 4515 y Fq(\)\).)100
4614 y(According)26 b(to)i(Lemma)g(1)f(the)i(set)f(\006)1311
4624 y Fn(~)1296 4639 y Fo(D)1350 4647 y Fj(4)1382 4639
y Fo(;\037)1475 4614 y Fq(is)g(in\014nite)h(if)f(and)g(only)f(if)i(all)
e(comp)r(onen)n(ts)h(of)g(c)n(har-)0 4721 y(acter)g Fp(\037)h
Fq(satisfy)g(the)h(condition)f Fp(\037)1114 4733 y Fo(i)1167
4721 y Fp(<)1267 4689 y Fo(\013)p 1267 4703 44 4 v 1272
4750 a Fn(2)1349 4721 y Fq(\(in)h(other)f(w)n(ords)e(it)j(means)e(that)
i Fp(\037)2512 4733 y Fo(i)2565 4721 y Fp(<)25 b(!)2722
4731 y Fn(~)2707 4746 y Fo(D)2761 4754 y Fj(4)2798 4721
y Fq(\()p Fp(\037)p Fq(\)\).)42 b(Let's)0 4821 y(study)28
b(a)f(similar)g(question)g(for)g(all)g(extended)h(Dynkin)g(graphs.)100
4921 y(Let)f Fp(\037)300 4933 y Fo(i)355 4921 y Fq(b)r(e)g(the)g(i-th)h
(comp)r(onen)n(t)f(of)g(the)g(c)n(haracter)e Fp(\037)i
Fq(and)g Fp(\037)2080 4890 y Fk(0)2080 4942 y Fo(i)2135
4921 y Fq(b)r(e)g(the)h(corresp)r(onding)d(comp)r(o-)0
5020 y(nen)n(t)j(of)f(the)h(c)n(haracter)e Fp(\037)839
4990 y Fk(0)890 5020 y Fq(obtained)h(as)g(an)g(action)g(of)h(functor)f
Fp(S)33 b Fq(on)27 b(the)h(pair)f(\()p Fp(\037;)14 b(\015)5
b Fq(\).)0 5176 y Fy(Theorem)31 b(3.)40 b Fd(L)l(et)29
b Fq(\000)g Fd(b)l(e)g(an)g(extende)l(d)g(Dynkin)g(gr)l(aph.)40
b(The)30 b(set)f Fq(\006)2207 5188 y Fn(\000)p Fo(;\037)2342
5176 y Fd(is)h(in\014nite)f(if)h(and)f(only)h(if)0 5275
y(al)t(l)h(c)l(omp)l(onents)e(of)i(char)l(acter)g(satis\014es)f(two)g
(c)l(onditions:)39 b Fp(\037)1978 5287 y Fo(i)2029 5275
y Fp(<)23 b(!)2169 5287 y Fn(\000)2214 5275 y Fq(\()p
Fp(\037)p Fq(\))30 b Fd(and)g Fp(\037)2573 5245 y Fk(0)2573
5297 y Fo(i)2624 5275 y Fp(<)22 b(!)2763 5287 y Fn(\000)2808
5275 y Fq(\()p Fp(\037)2892 5245 y Fk(0)2916 5275 y Fq(\))p
Fd(.)p eop end
%%Page: 6 6
TeXDict begin 6 5 bop 0 50 a Fn(6)1150 b(K)n(OSTY)-5
b(ANTYN)23 b(YUSENK)n(O)0 249 y Fd(Pr)l(o)l(of.)43 b
Fq(W)-7 b(e)33 b(pro)n(v)n(e)d(this)j(theorem)f(in)g(few)h(steps.)50
b(A)n(t)33 b(\014rst)f(w)n(e)g(sho)n(w)f(that)i(the)f(conditions)g
Fp(\037)3065 261 y Fo(i)3123 249 y Fp(<)0 349 y(!)52
361 y Fn(\000)97 349 y Fq(\()p Fp(\037)p Fq(\))c(and)g
Fp(\037)455 319 y Fk(0)455 370 y Fo(i)505 349 y Fp(<)23
b(!)645 361 y Fn(\000)690 349 y Fq(\()p Fp(\037)774 319
y Fk(0)797 349 y Fq(\))28 b(are)f(b)r(oth)h(necessary)e(for)h(the)h
(set)f(\006)2019 361 y Fn(\000)p Fo(;\037)2153 349 y
Fq(to)h(b)r(e)g(in\014nite.)0 502 y Fy(Lemma)e(3.)37
b Fd(If)26 b(at)g(le)l(ast)f(one)h(c)l(omp)l(onent)g(of)g(char)l(acter)
h Fp(\037)e Fd(or)h(char)l(acter)h Fp(\037)2418 472 y
Fk(0)2467 502 y Fd(satisfy)f(the)g(c)l(ondition)0 602
y Fp(\037)52 614 y Fo(i)103 602 y Fx(\025)c Fp(!)242
614 y Fn(\000)287 602 y Fq(\()p Fp(\037)p Fq(\))30 b
Fd(or)h Fp(\037)593 572 y Fk(0)593 624 y Fo(i)643 602
y Fx(\025)23 b Fp(!)783 614 y Fn(\000)828 602 y Fq(\()p
Fp(\037)912 572 y Fk(0)935 602 y Fq(\))30 b Fd(then)g(the)g(set)f
Fq(\006)1509 614 y Fn(\000)p Fo(;\037)1645 602 y Fd(is)h(\014nite.)0
755 y(Pr)l(o)l(of.)43 b Fq(It)30 b(isn't)g(hard)e(to)i(c)n(hec)n(k)e
(that)i(the)g(pro)5 b(jection)28 b(corresp)r(onding)f(to)j(suc)n(h)f
(comp)r(onen)n(t)g(of)g Fp(\037)0 855 y Fq(that)f(satisfy)e(the)i
(condition)f(is)g(equal)g(to)g(0)g(or)f(to)h Fp(I)34
b Fq(in)28 b(the)f(represen)n(tation.)35 b(Hence)28 b(the)f(set)h(\006)
3082 867 y Fn(\000)p Fo(;\037)0 964 y Fq(has)i(the)h(same)f(structure)f
(as)h(the)h(set)f(\006)1313 974 y Fn(~)1309 989 y(\000)p
Fo(;\037)1446 964 y Fq(where)1694 943 y(~)1689 964 y(\000)h(is)f(the)h
(prop)r(er)e(subgraph)g(of)i(\000.)45 b(Since)31 b(the)0
1071 y(set)24 b(\006)186 1083 y Fn(\000)p Fo(;\037)317
1071 y Fq(is)g(alw)n(a)n(ys)e(\014nite)j(when)f(\000)g(is)h(a)e(Dynkin)
i(graph)e(\(see)h([7]\))g(the)h(set)f(\006)2459 1083
y Fn(\000)p Fo(;\037)2590 1071 y Fq(is)g(also)f(\014nite.)83
b Fe(\003)0 1239 y Fd(R)l(emark)35 b Fq(2)p Fd(.)j Fq(Conditions)24
b Fp(\037)887 1251 y Fo(i)937 1239 y Fp(<)f(!)1077 1251
y Fn(\000)1122 1239 y Fq(\()p Fp(\037)p Fq(\))h(and)g
Fp(\037)1472 1209 y Fk(0)1472 1261 y Fo(i)1523 1239 y
Fp(<)e(!)1662 1251 y Fn(\000)1707 1239 y Fq(\()p Fp(\037)1791
1209 y Fk(0)1815 1239 y Fq(\))i(are)f(equiv)-5 b(alen)n(t)23
b(if)i(\000)e(=)2651 1218 y(~)2631 1239 y Fp(D)2700 1251
y Fn(4)2737 1239 y Fq(,)i(but)f(are)f(not)0 1346 y(generally)e(sp)r
(eaking)g(if)i(\000)f Fx(6)p Fq(=)936 1325 y(~)917 1346
y Fp(D)986 1358 y Fn(4)1023 1346 y Fq(.)35 b(F)-7 b(or)22
b(example)f(let's)i(consider)e(the)h(c)n(haracter)e Fp(\037)j
Fq(=)g(\(5)p Fp(;)14 b Fq(6;)g(7)p Fp(;)g Fq(8;)g(8)p
Fp(;)g Fq(9\))0 1451 y(on)22 b(graph)e(\000)j(=)521 1430
y(~)502 1451 y Fp(E)563 1463 y Fn(6)601 1451 y Fq(,)g(all)e(comp)r
(onen)n(ts)h(of)g Fp(\037)g Fq(satisfy)f Fp(\037)1676
1463 y Fo(i)1727 1451 y Fp(<)h(!)1881 1461 y Fn(~)1866
1476 y Fo(E)1915 1484 y Fj(6)1951 1451 y Fq(\()p Fp(\037)p
Fq(\))h(but)f(for)g(coresp)r(onding)e(c)n(haracter)0
1555 y Fp(\037)52 1525 y Fk(0)98 1555 y Fq(=)j(\(1)p
Fp(;)14 b Fq(6;)g(1)p Fp(;)g Fq(8;)g(1)p Fp(;)g Fq(9\))25
b(they)j(do)f(not.)100 1709 y(T)-7 b(o)20 b(pro)n(v)n(e)e(that)j(the)g
(conditions)e Fp(\037)1181 1721 y Fo(i)1232 1709 y Fp(<)k(!)1372
1721 y Fn(\000)1417 1709 y Fq(\()p Fp(\037)p Fq(\))d(and)h
Fp(\037)1760 1679 y Fk(0)1760 1730 y Fo(i)1810 1709 y
Fp(<)i(!)1950 1721 y Fn(\000)1995 1709 y Fq(\()p Fp(\037)2079
1679 y Fk(0)2102 1709 y Fq(\))e(are)e(su\016cien)n(t)i(w)n(e)f(will)g
(consider)0 1815 y(sp)r(ecial)25 b(pro)r(cedure)g(\(on)g(the)h(example)
g(where)f(\000)e(=)1682 1794 y(~)1662 1815 y Fp(E)1723
1827 y Fn(6)1761 1815 y Fq(\))j(whic)n(h)f(allo)n(ws)g(us)g(to)h(build)
g(in\014nite)g(series)0 1915 y(in)i(\006)157 1927 y Fn(\000)p
Fo(;\037)291 1915 y Fq(with)g(limit)g(p)r(oin)n(t)g Fp(!)947
1927 y Fn(\000)992 1915 y Fq(\()p Fp(\037)p Fq(\).)100
2023 y(Let)f(\000)c(=)430 2002 y(~)411 2023 y Fp(E)472
2035 y Fn(6)537 2023 y Fq(and)28 b(the)g(latter)f(inequalities)g(hold,)
h(consider)e(sets)694 2230 y Fp(A)756 2263 y Fo(\037)797
2232 y Fj(\()p Fm(j)r Fj(\))797 2281 y(1)901 2230 y Fq(=)d
Fx(f)p Fq(\()p Fp(f)1104 2242 y Fn(1)p Fo(;k)1197 2230
y Fq(\()p Fp(\037)p Fq(\)\))1345 2187 y Fn(\()p Fo(j)s
Fn(\))1345 2252 y(1)1433 2230 y Fx(j)p Fp(k)j Fq(=)c(1)p
Fp(;)14 b(:)g(:)g(:)f(;)h(p)1895 2240 y Fn(~)1880 2255
y Fo(E)1929 2263 y Fj(6)1965 2230 y Fq(\()p Fp(p)2054
2240 y Fn(~)2039 2255 y Fo(E)2088 2263 y Fj(6)2143 2230
y Fx(\000)k Fq(1\))23 b(=)g(6)p Fx(g)0 2400 y Fq({)32
b(the)i(sets)e(of)h(orbits)f(of)h(the)g(comp)r(onen)n(ts)f
Fp(f)1482 2412 y Fn(1)p Fo(;)p Fn(0)1572 2400 y Fq(\()p
Fp(\037)p Fq(\))1688 2357 y Fn(\()p Fo(j)s Fn(\))1688
2423 y(1)1808 2400 y Fq(under)h(an)f(action)g(of)h(\()p
Fp(S)5 b(T)12 b Fq(\))32 b(functor,)i(and)0 2500 y(consider)27
b(the)h(set)1340 2665 y Fp(A)23 b Fq(=)1554 2561 y Fn(3)1524
2586 y Fi([)1513 2763 y Fo(j)s Fn(=1)1641 2665 y Fp(A)1703
2698 y Fo(\037)1744 2668 y Fj(\()p Fm(j)r Fj(\))1744
2716 y(1)1825 2665 y Fp(:)100 2878 y Fq(Put)d Fp(a)j
Fq(=)f(min)15 b Fp(A)20 b Fq(and)g Fp(l)r Fq(,)i Fp(m)e
Fq(corresp)r(onding)e(to)i Fp(a)h Fq(indexes,)g(i.e.)35
b(suc)n(h)20 b(indexes)g(that)g(\()p Fp(f)2810 2890 y
Fn(1)p Fo(;m)2926 2878 y Fq(\()p Fp(\037)p Fq(\)\))3074
2890 y Fo(l)3123 2878 y Fq(=)0 2978 y Fp(a)p Fq(.)48
b(Consider)31 b(the)h(sequence)f Fp(\015)1004 2990 y
Fo(n)1078 2978 y Fq(=)e Fp(!)1239 2988 y Fn(~)1224 3003
y Fo(E)1273 3011 y Fj(6)1309 2978 y Fq(\()p Fp(\037)p
Fq(\))22 b Fx(\000)1567 2945 y Fo(a)p 1542 2959 85 4
v 1542 3006 a(')1586 3014 y Fm(n)1637 2978 y Fq(,)32
b(where)f Fp(')1990 2990 y Fo(n)2065 2978 y Fq(=)e(\()p
Fp(f)2232 2993 y Fn(2)p Fo(;p)2331 3001 y Fj(~)2319 3011
y Fm(E)2361 3023 y Fj(6)2398 2993 y Fn(\()p Fo(p)2470
3001 y Fj(~)2458 3011 y Fm(E)2500 3023 y Fj(6)2536 2993
y Fk(\000)p Fn(1\))p Fo(n)p Fn(+)p Fo(m)2802 2978 y Fq(\()p
Fp(\037)2901 2988 y Fn(~)2886 3003 y Fo(E)2935 3011 y
Fj(6)2972 2978 y Fq(\)\))3036 2990 y Fo(l)3062 2978 y
Fq(\))g(=)0 3035 y Fi(\002)45 3070 y Fn(6)p Fo(n)p Fn(+)p
Fo(m)p 45 3084 185 4 v 120 3131 a Fn(2)239 3035 y Fi(\003)273
3103 y Fq(,)f(and)f Fp(n)c Fx(2)h Fl(N)p Fq(.)37 b(The)27
b(follo)n(wing)g(prop)r(osition)f(holds)0 3256 y Fy(Lemma)32
b(4.)40 b Fd(The)31 b(algebr)l(a)g Fx(P)978 3266 y Fn(~)963
3281 y Fo(E)1012 3289 y Fj(6)1044 3281 y Fo(;\037;\015)1160
3289 y Fm(n)1234 3256 y Fd(has)g(a)f(r)l(epr)l(esentation)g(for)h
(every)f(natur)l(al)g Fp(n)p Fd(.)0 3422 y(Pr)l(o)l(of.)43
b Fq(Fix)26 b Fp(n)d Fx(2)g Fl(N)j Fq(and)g(apply)f(functor)h(\()p
Fp(S)5 b(T)12 b Fq(\))1498 3392 y Fn(6)p Fo(n)p Fn(+)p
Fo(m)p Fk(\000)p Fn(2)1797 3422 y Fq(to)25 b(the)h(pair)g(\()p
Fp(\037)p Fq(;)14 b Fp(!)2394 3432 y Fn(~)2380 3447 y
Fo(E)2429 3455 y Fj(6)2465 3422 y Fq(\()p Fp(\037)p Fq(\))h
Fx(\000)2710 3390 y Fo(a)p 2686 3404 85 4 v 2686 3451
a(')2730 3459 y Fm(n)2780 3422 y Fq(\).)37 b(T)-7 b(o)25
b(c)n(hec)n(k)0 3528 y(that)i(this)g(action)f(is)g(correct)f(w)n(e)i
(ha)n(v)n(e)e(to)h(sho)n(w)g(that)h(on)f(eac)n(h)g(step)h
Fp(k)f Fe(6)c Fq(6)p Fp(n)16 b Fq(+)g Fp(m)g Fx(\000)g
Fq(2)26 b(w)n(e)h(will)f(get)0 3628 y(the)34 b(pair)f(\()p
Fp(\037)p Fq(\()p Fp(k)s Fq(\);)14 b Fp(\015)5 b Fq(\()p
Fp(k)s Fq(\)\))35 b(where)f Fp(\015)5 b Fq(\()p Fp(k)s
Fq(\))34 b(and)f(all)h(comp)r(onen)n(ts)f(of)h(the)g
Fp(\037)p Fq(\()p Fp(k)s Fq(\))h(are)e(p)r(ositiv)n(e.)55
b(Indeed,)0 3744 y(consider)27 b(for)h(example)h(the)f(comp)r(onen)n(t)
h Fp(\037)p Fq(\()p Fp(k)s Fq(\))1510 3701 y Fn(\()p
Fo(j)s Fn(\))1510 3767 y Fo(i)1625 3744 y Fq(on)g(step)f
Fp(k)g Fe(6)c Fq(6)p Fp(n)18 b Fq(+)h Fp(m)g Fx(\000)f
Fq(2.)40 b(Using)28 b(folm)n(ula)g(\(2\))0 3843 y(w)n(e)f(get:)148
4047 y Fp(\037)p Fq(\()p Fp(k)s Fq(\))310 4004 y Fn(\()p
Fo(j)s Fn(\))310 4070 y Fo(i)420 4047 y Fq(=)c(\()p Fp(f)581
4059 y Fn(1)p Fo(;k)d Fn(mo)r(d)e(6)871 4047 y Fq(\()p
Fp(\037)p Fq(\)\))1019 4004 y Fn(\()p Fo(j)s Fn(\))1019
4070 y Fo(i)1125 4047 y Fx(\000)h Fq(\()p Fp(f)1282 4059
y Fn(2)p Fo(;k)1375 4047 y Fq(\()p Fp(\037)1474 4057
y Fn(~)1459 4072 y Fo(E)1508 4080 y Fj(6)1545 4047 y
Fq(\)\))1609 4004 y Fn(\()p Fo(j)s Fn(\))1609 4070 y
Fo(i)1734 3991 y Fp(a)p 1706 4028 100 4 v 1706 4104 a(')1760
4116 y Fo(n)1839 4047 y Fe(>)j Fp(a)1970 3930 y Fi(\022)2031
4047 y Fq(1)c Fx(\000)2174 3930 y Fi(\024)2228 3991 y
Fp(k)p 2228 4028 46 4 v 2230 4104 a Fq(2)2284 3930 y
Fi(\025)13 b(\024)2395 3991 y Fq(6)p Fp(n)18 b Fq(+)g
Fp(m)p 2395 4028 266 4 v 2507 4104 a Fq(2)2671 3930 y
Fi(\025)2715 3947 y Fk(\000)p Fn(1)2818 3930 y Fi(\023)2902
4047 y Fe(>)k Fq(0)p Fp(:)100 4239 y Fq(T)-7 b(o)35 b(complete)h(the)g
(pro)r(of)g(it)g(remains)f(to)h(note)g(that)g Fp(\037)p
Fq(\(6)p Fp(n)24 b Fq(+)f Fp(m)p Fq(\))2259 4251 y Fo(l)2322
4239 y Fq(=)36 b(0,)i(hence)e(corresp)r(ond-)0 4338 y(ing)e(comp)r
(onen)n(t)f Fp(\037)p Fq(\(6)p Fp(n)22 b Fq(+)g Fp(m)h
Fx(\000)f Fq(2\))1117 4350 y Fo(l)1176 4338 y Fq(=)33
b Fp(\015)5 b Fq(\(6)p Fp(n)21 b Fq(+)i Fp(m)f Fx(\000)g
Fq(2\).)55 b(According)33 b(to)h(Lemma)f(2)h(the)g(algebra)0
4438 y Fx(P)73 4448 y Fn(~)58 4463 y Fo(E)107 4471 y
Fj(6)139 4463 y Fo(;\037)p Fn(\(6)p Fo(n)p Fn(+)p Fo(m)p
Fk(\000)p Fn(2\))p Fo(;\015)t Fn(\(6)p Fo(n)p Fn(+)p
Fo(m)p Fk(\000)p Fn(2\))932 4438 y Fq(has)27 b(a)g(represen)n(tation.)
1434 b Fe(\003)100 4623 y Fq(Notice)31 b(that)g(the)h(same)e(pro)r
(cedure)g(w)n(as)g(used)h(to)g(build)h(in\014nite)g(series)e(in)h(the)h
(case)e(\000)f(=)3101 4602 y(~)3082 4623 y Fp(D)3151
4635 y Fn(4)0 4724 y Fq(\(see)36 b(Lemma)f(1\).)62 b(This)36
b(pro)r(cedure)e(could)i(b)r(e)g(sligh)n(tly)f(mo)r(di\014ed)i(for)e
(the)h(cases)f(\000)i(=)2939 4703 y(~)2920 4724 y Fp(E)2981
4736 y Fn(7)3054 4724 y Fq(and)0 4829 y(\000)23 b(=)182
4808 y(~)163 4829 y Fp(E)224 4841 y Fn(8)261 4829 y Fq(,)28
b(hence)f(the)h(theorem)g(holds.)1901 b Fe(\003)100 4989
y Fq(An)35 b(in)n(teresting)f(question)g(is)h(when)g(there)f(exist)h(a)
f Fx(\003)p Fq(-represen)n(tation)e(of)j(algebras)e Fx(P)2920
5001 y Fn(\000)p Fo(;\037;\015)3119 4989 y Fq(in)0 5097
y(the)k(case)e Fp(\015)43 b Fq(=)37 b Fp(!)576 5109 y
Fn(\000)621 5097 y Fq(\()p Fp(\037)p Fq(\).)64 b(When)37
b(\000)h(=)1287 5076 y(~)1268 5097 y Fp(D)1337 5109 y
Fn(4)1410 5097 y Fq(this)f(question)f(w)n(as)g(studied)g(in)h([6])f
(and)h(the)g(answ)n(er)0 5197 y(is:)60 b(a)39 b(represen)n(tation)f
(exists)h(if)g(all)g(comp)r(onen)n(ts)g(of)g(the)h(c)n(haracter)d
Fp(\037)j Fq(satisfy)f(the)g(condition)0 5297 y Fp(\037)52
5309 y Fo(i)103 5297 y Fp(<)22 b(!)257 5307 y Fn(~)242
5322 y Fo(D)296 5330 y Fj(4)333 5297 y Fq(\()p Fp(\037)p
Fq(\).)37 b(The)28 b(similar)f(answ)n(er)f(app)r(ears)g(to)i(b)r(e)g
(correct)e(for)h(all)g(extended)h(Dynkin)g(graphs.)p
eop end
%%Page: 7 7
TeXDict begin 7 6 bop 426 50 a Fn(ON)29 b(EXISTENCE)f(OF)h
Fk(\003)p Fn(-REPRESENT)-5 b(A)g(TIONS)28 b(OF)h(CER)-5
b(T)g(AIN)29 b(ALGEBRAS)g Fo(:)11 b(:)g(:)393 b Fn(7)0
249 y Fy(Corollary)45 b(2.)i Fd(\(R)l(epr)l(esentation)39
b(in)h(the)f(c)l(ase)h Fp(\015)45 b Fq(=)40 b Fp(!)1862
261 y Fn(\000)1907 249 y Fq(\()p Fp(\037)p Fq(\))p Fd(\))g(L)l(et)f
Fq(\000)g Fd(b)l(e)g(an)h(extende)l(d)f(Dynkin)0 349
y(gr)l(aph,)33 b(and)e Fp(\037)g Fd(b)l(e)g(the)g(char)l(acter)h(on)f
Fq(\000)g Fd(such)g(that)f(the)i(c)l(onditions)f(of)h(Th.3)h(ar)l(e)e
(satis\014e)l(d.)42 b(Then)0 448 y(ther)l(e)30 b(is)g(a)g(r)l(epr)l
(esentation)g(of)h(algebr)l(a)g Fx(P)1346 463 y Fn(\000)p
Fo(;\037;!)1510 471 y Fj(\000)1548 463 y Fn(\()p Fo(\037)p
Fn(\))0 603 y Fd(Pr)l(o)l(of.)43 b Fq(Since)26 b(the)g(conditions)f(of)
h(Theorem)e(3)i(are)e(satis\014ed)h(there)h(exist)f(the)h(series)f(in)h
(\006)2895 615 y Fn(\000)p Fo(;\037)3027 603 y Fq(with)0
703 y(the)f(limit)h(p)r(oin)n(t)f Fp(!)602 715 y Fn(\000)646
703 y Fq(\()p Fp(\037)p Fq(\).)37 b(By)24 b(Sh)n(ulman's)h(theorem)f
(\(see)h([8]\))g(the)g(sets)f(\006)2334 715 y Fn(\000)p
Fo(;\037)2466 703 y Fq(are)f(closed,)i(therefore)0 802
y(the)j(set)g(\006)333 814 y Fn(\000)p Fo(;\037)467 802
y Fq(con)n(tains)e(the)i(p)r(oin)n(t)g Fp(!)1204 814
y Fn(\000)1249 802 y Fq(\()p Fp(\037)p Fq(\).)1735 b
Fe(\003)0 965 y Fd(R)l(emark)53 b Fq(3)p Fd(.)d Fq(Using)43
b(previous)e(corollary)f(one)j(can)f(determite)h(is)g(there)f
Fx(\003)p Fq(-represen)n(tation)e(of)0 1065 y Fx(P)58
1080 y Fn(\000)p Fo(;\037;!)222 1088 y Fj(\000)260 1080
y Fn(\()p Fo(\037)p Fn(\))395 1065 y Fq(for)d(\014xed)g(c)n(haracter)e
Fp(\037)p Fq(.)66 b(Indeed,)40 b(if)e(the)f(conditions)g(of)g(Theorem)g
(3)f(are)h(satis\014ed)0 1165 y(then)31 b(there)g(exist)f(a)h(represen)
n(tation,)e(if)j(not)e(w)n(e)h(construct)f(prop)r(er)g(graph)f(b)n(y)h
(deleting)h(v)n(ertices)0 1264 y(where)38 b(comp)r(onen)n(ts)g(of)h
Fp(\037)f Fq(do)r(es)h(not)f(satisfy)g(desired)g(conditions.)70
b(Since)38 b(w)n(e)h(no)n(w)f(exact)g(an-)0 1364 y(sw)n(er)28
b(for)h(all)f(prop)r(er)g(subgraphs)g(of)h(an)g(extended)g(Dynkin)h
(graphs,)e(w)n(e)h(can)f(determine)h(is)g(there)0 1463
y(represen)n(tation.)0 1618 y Fy(Theorem)43 b(4.)k Fd(L)l(et)39
b Fq(\000)g Fd(b)l(e)h(an)f(extende)l(d)g(Dynkin)g(gr)l(aph.)69
b(If)39 b(the)h(set)f Fq(\006)2401 1630 y Fn(\000)p Fo(;\037)2546
1618 y Fd(is)h(in\014nite)f(then)g(it)0 1718 y(c)l(ontains)30
b(the)g(only)g(limit)g(p)l(oint.)0 1873 y(Pr)l(o)l(of.)43
b Fq(Let)d(us)f(\014x)h Fp(\015)48 b(<)42 b(!)919 1885
y Fn(\000)964 1873 y Fq(\()p Fp(\037)p Fq(\))e(and)g(apply)f(functor)g
(\()p Fp(S)5 b(T)12 b Fq(\))2015 1843 y Fo(k)2095 1873
y Fq(to)40 b(the)g(pair)e(\()p Fp(\037)p Fq(;)14 b Fp(\015)5
b Fq(\).)73 b(F)-7 b(ollo)n(wing)0 1972 y(form)n(ulas)31
b(\(2\))g(there)h(exist)g Fp(k)g(<)e Fx(1)i Fq(suc)n(h)f(that)h(one)f
(of)h(three)g(follo)n(wing)e(situations)i(can)f(happ)r(en)0
2079 y(\(and)d(all)f(comp)r(onen)n(ts)g(of)h(the)g(c)n(haracter)d
Fp(\037)p Fq(\()1452 2057 y(~)1450 2079 y Fp(k)s Fq(\))j(and)g
Fp(\015)5 b Fq(\()1800 2057 y(~)1798 2079 y Fp(k)r Fq(\),)1929
2057 y(~)1926 2079 y Fp(k)26 b(<)d(k)30 b Fq(are)d(p)r(ositiv)n(e\):)
141 2201 y(\(a\))42 b Fp(\015)5 b Fq(\()p Fp(k)s Fq(\))23
b(=)f(0.)35 b(In)23 b(this)g(case)f(there)h(exist)f Fx(\003)p
Fq(-represen)n(tation)f(of)h(the)h(algebra)e Fx(P)2662
2216 y Fn(\000)p Fo(;\037)p Fn(\()p Fo(k)q Fn(\))p Fo(;\015)t
Fn(\()p Fo(k)q Fn(\))3027 2201 y Fq(with)289 2301 y(generalized)26
b(dimension)h Fp(d)p Fq(\()p Fp(k)s Fq(\))i(de\014ned)f(b)n(y)1168
2461 y Fp(d)p Fq(\()p Fp(k)s Fq(\))1321 2473 y Fn(0)1382
2461 y Fq(=)23 b(0)p Fp(;)69 b(d)p Fq(\()p Fp(k)s Fq(\))1757
2418 y Fn(\()p Fo(j)s Fn(\))1757 2484 y Fo(i)1867 2461
y Fq(=)23 b(0)p Fp(:)137 2623 y Fq(\(b\))42 b Fp(\037)p
Fq(\()p Fp(k)s Fq(\))451 2580 y Fn(\()p Fo(j)s Fn(\))451
2645 y(1)566 2623 y Fq(=)28 b Fp(\015)5 b Fq(\()p Fp(k)s
Fq(\),)31 b(for)f Fp(j)j Fx(2)28 b Fp(J)36 b Fx(\032)28
b(f)p Fq(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(n)p Fx(g)p Fp(:)30
b Fq(In)g(this)h(case)f(there)g(exist)h Fx(\003)p Fq(-represen)n
(tation)289 2723 y(of)c(the)h(algebra)e Fx(P)875 2738
y Fn(\000)p Fo(;\037)p Fn(\()p Fo(k)q Fn(\))p Fo(;\015)t
Fn(\()p Fo(k)q Fn(\))1244 2723 y Fq(with)i(generalized)f(dimension)g
Fp(d)p Fq(\()p Fp(k)s Fq(\))h(de\014ned)g(b)n(y)686 2892
y Fp(d)p Fq(\()p Fp(k)s Fq(\))839 2904 y Fn(0)900 2892
y Fq(=)23 b(1)p Fp(;)55 b(d)p Fq(\()p Fp(k)s Fq(\))1261
2848 y Fn(\()p Fo(j)s Fn(\))1261 2914 y(1)1371 2892 y
Fq(=)23 b(1)82 b(if)56 b Fp(j)28 b Fq(=)23 b Fp(m;)1108
3046 y(d)p Fq(\()p Fp(k)s Fq(\))1261 3002 y Fn(\()p Fo(j)s
Fn(\))1261 3069 y Fo(i)1371 3046 y Fq(=)g(0)82 b(if)56
b Fp(j)28 b Fx(2)c Fp(J)63 b Fq(and)55 b Fp(j)28 b Fx(6)p
Fq(=)23 b Fp(m;)1108 3200 y(d)p Fq(\()p Fp(k)s Fq(\))1261
3156 y Fn(\()p Fo(j)s Fn(\))1261 3223 y Fo(i)1371 3200
y Fq(=)g(0)82 b(if)56 b Fp(i)23 b Fq(=)g(1)p Fp(;)41
b(j)c(=)-51 b Fx(2)23 b Fp(J)63 b Fq(or)55 b Fp(i)22
b Fx(6)p Fq(=)h(1)p Fp(;)289 3344 y Fq(where)k Fp(m)c
Fq(=)f(min)15 b Fp(J)8 b Fq(.)146 3443 y(\(c\))42 b Fp(\037)p
Fq(\()p Fp(k)s Fq(\))451 3400 y Fn(\()p Fo(j)s Fn(\))451
3467 y Fo(i)569 3443 y Fp(>)30 b(\015)5 b Fq(\()p Fp(k)s
Fq(\),)33 b(for)f Fp(j)j Fx(2)c Fp(J)1219 3413 y Fk(0)1273
3443 y Fx(\032)g(f)p Fq(1)p Fp(;)14 b(:)g(:)g(:)e(;)i(n)p
Fx(g)32 b Fq(and)g Fp(i)e Fx(2)h Fp(J)2125 3413 y Fk(00)2198
3443 y Fx(\032)f(f)p Fq(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(m)2634
3455 y Fo(j)2668 3443 y Fx(g)p Fp(:)32 b Fq(In)h(this)f(case)289
3552 y(w)n(e)i(construct)g(new)g(graph)1214 3531 y(~)1209
3552 y(\000)h(b)n(y)f(deleting)g(v)n(ertices)f(from)h
Fp(G)h Fq(that)g(corresp)r(ond)d(to)j(the)289 3652 y(sets)30
b Fp(J)508 3621 y Fk(0)562 3652 y Fq(and)g Fp(J)780 3621
y Fk(00)853 3652 y Fq(\(branc)n(h)g(from)h Fp(J)1417
3621 y Fk(0)1470 3652 y Fq(and)g(v)n(ertex)e(form)i Fp(J)2143
3621 y Fk(00)2185 3652 y Fq(\).)46 b(Since)31 b(w)n(e)f(kno)n(w)g(the)h
(exact)289 3757 y(structure)24 b(of)h(the)g(set)f(\006)1064
3767 y Fn(~)1060 3782 y(\000)p Fo(;)8 b Fn(~)-41 b Fo(\037)1191
3757 y Fq(\(see)25 b([7]\),)g(where)34 b(~)-51 b Fp(\037)24
b Fq(is)h(the)g(restriction)f(of)g Fp(\037)p Fq(\()p
Fp(k)s Fq(\))h(on)2849 3736 y(~)2844 3757 y(\000,)g(w)n(e)g(can)289
3864 y(determine)i(for)f Fp(\015)5 b Fq(\()p Fp(k)s Fq(\))27
b(to)f(lie)h(in)g(\006)1357 3874 y Fn(~)1353 3889 y(\000)p
Fo(;)8 b Fn(~)-41 b Fo(\037)1459 3864 y Fq(,)27 b(and)g(if)g(the)g
(latter)g(is)f(true)h(to)g(build)g(corresp)r(onding)289
3971 y(v)n(ector)f(of)i(generalized)e(dimension)h Fp(d)p
Fq(\()p Fp(k)s Fq(\).)100 4093 y(Using)h(ab)r(o)n(v)n(e)f(rule)h(to)g
(eac)n(h)f(pair)h(\()p Fp(\037)p Fq(;)14 b Fp(\015)5
b Fq(\))24 b Fx(2)h Fq(\006)1563 4105 y Fn(\000)1608
4093 y Fp(;)42 b(\015)29 b(<)24 b(!)1886 4105 y Fn(\000)1931
4093 y Fq(\()p Fp(\037)p Fq(\))29 b(w)n(e)f(asso)r(ciate)f(the)h(pair)g
(\()p Fp(k)s Fq(;)14 b Fp(d)p Fq(\()p Fp(k)s Fq(\)\),)0
4193 y(it)28 b(means)f(that)h(w)n(e)f(decomp)r(ose)g(the)h(set)1098
4348 y(\006)1158 4360 y Fn(\000)p Fo(;\037)1283 4348
y Fx(\\)19 b Fq([0)p Fp(;)14 b(!)1511 4360 y Fn(\000)1555
4348 y Fq(\()p Fp(\037)p Fq(\)])24 b(=)1806 4270 y Fi([)1806
4448 y Fo(k)q(;d)1912 4348 y Fq(\006)1972 4360 y Fo(k)q(;d)2067
4348 y Fp(;)0 4583 y Fq(where)d(index)i Fp(d)f Fq(ranges)e(o)n(v)n(er)g
(all)i(p)r(osible)g(generalized)f(dimensions)g(and)h
Fp(k)k Fq(=)c(0)p Fp(;)14 b(:)g(:)g(:)g(;)g(p)2751 4595
y Fn(\000)2795 4583 y Fq(\()p Fp(p)2869 4595 y Fn(\000)2922
4583 y Fx(\000)7 b Fq(1\))g Fx(\000)g Fq(1)0 4682 y(\(indeed)28
b(according)d(to)i(\(2\))g(functor)g(\()p Fp(S)5 b(T)12
b Fq(\))27 b(acts)f(b)n(y)h(cycles,)g(hence)g(to)g(describ)r(e)g(the)g
(sets)g(\006)2960 4694 y Fn(\000)p Fo(;\037)3093 4682
y Fq(w)n(e)0 4782 y(can)c(tak)n(e)f(in)n(to)h(consideration)f(all)h(p)r
(osible)g(v)n(ectors)f(of)h(generalized)e(dimensions)i(along)f(one)h
(cycle\).)0 4937 y Fy(Lemma)32 b(5.)40 b Fd(Index)30
b Fp(d)g Fd(r)l(anges)g(on)f(a)i(\014nite)e(numb)l(er)g(of)h(p)l
(osible)i(gener)l(alize)l(d)f(dimension.)0 5092 y(Pr)l(o)l(of.)43
b Fq(Eac)n(h)22 b Fp(d)505 5104 y Fo(i)556 5092 y Fq(corresp)r(onds)f
(to)i(the)g(case)f(\(a\),)i(\(b\))g(or)e(\(c\).)36 b(It)23
b(is)g(clear)f(that)h(in)g(the)g(cases)f(\(a\),)i(\(b\))0
5197 y(the)h(n)n(um)n(b)r(er)g(of)g(di\013eren)n(t)h(generalized)d
(dimension)i(is)g(\014nite.)37 b(In)25 b(the)h(case)e(where)2657
5176 y(~)2652 5197 y(\000)h(is)g(the)g(prop)r(er)0 5297
y(subgraph)37 b(of)h(the)g(extended)g(Dynkin)h(graph)e(\(see)g([7]\))h
(the)h(n)n(um)n(b)r(er)f(of)f(di\013eren)n(t)i(generalized)p
eop end
%%Page: 8 8
TeXDict begin 8 7 bop 0 50 a Fn(8)1150 b(K)n(OSTY)-5
b(ANTYN)23 b(YUSENK)n(O)0 249 y Fq(dimension)h(is)g(also)e(\014nite,)k
(hence)d(it)i(pro)n(v)n(es)d(the)i(case)f(where)g Fp(d)2013
261 y Fo(i)2065 249 y Fq(corresp)r(onded)f(to)i(\(c\))g(and)g(lemma)0
349 y(holds.)2910 b Fe(\003)0 498 y Fy(Lemma)32 b(6.)41
b Fd(The)31 b(sets)e Fq(\006)848 510 y Fo(k)q(;d)943
498 y Fp(;)h(k)d Fx(2)c(f)p Fq(0)p Fp(;)14 b(:)g(:)g(:)f(;)h(p)1454
510 y Fn(\000)1499 498 y Fq(\()p Fp(p)1573 510 y Fn(\000)1637
498 y Fx(\000)k Fq(1\))g Fx(\000)g Fq(1)p Fx(g)29 b Fd(ar)l(e)i(either)
f(\014nite)g(or)g(have)h(the)f(only)0 598 y(limit)g(p)l(oint)g
Fp(!)459 610 y Fn(\000)504 598 y Fq(\()p Fp(\037)p Fq(\))p
Fd(.)0 747 y(Pr)l(o)l(of.)43 b Fq(Direct)28 b(calculation)f(using)g
(\(2\).)1844 b Fe(\003)100 897 y Fq(No)n(w)27 b(the)h(theorem)f(is)g
(ob)n(vious)g(collorally)e(of)j(Lemma)f(2)g(and)h(Lemma)f(3.)644
b Fe(\003)0 1046 y Fd(R)l(emark)40 b Fq(4)p Fd(.)i Fq(Previous)27
b(theorem)h(giv)n(es)g(the)h(exact)f(algorithm)g(to)h(describ)r(e)f
(the)h(set)g(\006)2802 1058 y Fn(\000)p Fo(;\037)2909
1046 y Fq(,)g(but)g(to)0 1146 y(get)i(the)g(explicit)g(form)n(ulas)e
(turns)i(out)g(to)f(b)r(e)i(com)n(binatory)d(hard)h(for)g(extended)h
(Dynkin)g(graph)0 1247 y(\000)23 b Fx(6)p Fq(=)182 1226
y(~)163 1247 y Fp(D)232 1259 y Fn(4)296 1247 y Fq(\(case)j(\000)d(=)685
1226 y(~)666 1247 y Fp(D)735 1259 y Fn(4)799 1247 y Fq(is)k(simpler,)g
(and)g(complete)g(description)g(w)n(as)f(done)h(in)g([11)o(])h(and)f
(giv)n(en)f(in)0 1346 y(section)h(1\).)100 1496 y Fd(A)l(cknow)t(le)l
(dgments.)43 b Fq(The)29 b(author)g(is)g(grateful)g(to)g(his)g(sup)r
(ervisor)f(V.)i(L.)f(Ostro)n(vskyi)e(for)i(con-)0 1595
y(stan)n(t)e(atten)n(tion)h(to)f(this)h(w)n(ork.)1314
1765 y Fr(Bibliography)35 1897 y Fw(1.)35 b(William)22
b(F)-6 b(ulton,)23 b Fh(Eigenvalues,)i(invariant)g(factors,)g(highest)g
(weights,)f(and)i(Schub)l(ert)f(c)l(alculus)p Fw(,)e(Bull.)f(Amer.)125
1980 y(Math.)i(So)r(c.)g Fb(37)f Fw(\(2000\),)i(no.)f(3,)f(209{249.)35
2064 y(2.)35 b(Y)-6 b(u.)32 b(S.)g(Samoilenk)n(o,)i(M.)d(V.)g(Za)n(v)n
(o)r(do)n(vsky,)36 b Fh(The)l(ory)e(of)f(op)l(er)l(ators)j(and)e
(involutive)f(r)l(espr)l(esentation)p Fw(,)i(Ukr.)125
2147 y(Math.)24 b(Bull.)f Fb(1)g Fw(\(2004\),)i(no.)f(4,)f(537{552.)35
2230 y(3.)35 b(S.)27 b(A.)e(Krugly)n(ak,)i(V.)f(I.)g(Rabano)n(vic)n(h,)
i(Y)-6 b(u.)26 b(S.)g(Samoilenk)n(o,)i Fh(On)f(sums)i(of)g(pr)l(oje)l
(ctions)p Fw(,)f(F)-6 b(unct.)27 b(Anal.)f(Appl.)125
2313 y Fb(36)d Fw(\(2002\),)i(no.)f(3,)g(182{195.)35
2396 y(4.)35 b(M.)21 b(A.)g(Vlasenk)n(o,)h(A.)f(S.)g(Mellit,)g(and)h(Y)
-6 b(u.)21 b(S.)h(Samoilenk)n(o,)g Fh(On)h(algebr)l(as)i(gener)l(ate)l
(d)f(with)g(line)l(arly)g(dep)l(endent)125 2479 y(gener)l(ators)j(that)
e(have)h(given)f(sp)l(e)l(ctr)l(a)p Fw(,)g(F)-6 b(unct.)24
b(Anal.)f(Appl.)g Fb(39)g Fw(\(2005\),)i(no.)f(3,)f(14{27.)35
2562 y(5.)35 b(An)n(ton)44 b(Mellit,)i Fh(Certain)d(Examples)i(of)e
(Deforme)l(d)h(Pr)l(epr)l(oje)l(ctive)g(A)n(lgebr)l(as)g(and)g(Ge)l
(ometry)f(of)h(Their)125 2645 y Fu(\003)p Fh(-R)l(epr)l(esentations)q
Fw(,)23 b(arXiv:math.R)-6 b(T/0502055.)35 2728 y(6.)35
b(A.)22 b(A.)f(Kyryc)n(henk)n(o,)i Fh(On)h(line)l(ar)g(c)l(ombinations)
h(of)g(orthopr)l(oje)l(ctions)p Fw(,)f(Uc)n(h.)d(Zapiski)h(TNU)g
Fb(54)f Fw(\(2002\),)i(no.)f(2,)125 2811 y(31{39.)35
2894 y(7.)35 b(Stanisla)n(v)60 b(Krugljak,)66 b(Stanisla)n(v)60
b(P)n(op)r(o)n(vyc)n(h,)69 b(Y)-6 b(urii)57 b(Samoilenk)n(o,)68
b Fh(The)59 b(sp)l(e)l(ctr)l(al)h(pr)l(oblem)f(and)g
Fu(\003)p Fh(-)125 2977 y(r)l(epr)l(esentations)22 b(of)f(algebr)l(as)h
(asso)l(ciate)l(d)h(with)e(Dynkin)f(gr)l(aphs)p Fw(,)g(J.)e(Algebra)h
(Appl.)f Fb(4)g Fw(\(2005\),)j(no.)d(6,)h(761{776.)35
3060 y(8.)35 b(V.)d(S.)f(Sh)n(ulman,)j Fh(On)f(r)l(epr)l(esentations)h
(of)f(limit)g(r)l(elations)p Fw(,)i(Metho)r(ds)d(F)-6
b(unct.)33 b(Anal.)e(T)-6 b(op)r(ology)34 b Fb(7)d Fw(\(2001\),)125
3143 y(no.)24 b(4,)f(85{86.)35 3226 y(9.)35 b(V.)17 b(L.)g(Ostro)n
(vskyi,)h Fh(Some)j(r)l(emarks)f(on)h(families)f(of)g(op)l(er)l(ators)i
(r)l(elate)l(d)f(to)e(extende)l(d)h(Dynkin)f(gr)l(aphs)p
Fw(,)h(Metho)r(ds)125 3309 y(F)-6 b(unct.)25 b(Anal.)e(T)-6
b(op)r(ology)26 b Fb(11)d Fw(\(2005\),)i(no.)e(3,)h(250{256.)0
3392 y(10.)35 b(V.)62 b(L.)g(Ostro)n(vskyi,)72 b Fh(Sp)l(e)l(cial)63
b(char)l(acters)g(on)f(star)g(gr)l(aphs)h(and)g(r)l(epr)l(esentations)g
(of)f Fu(\003)p Fh(-algebr)l(as)p Fw(,)125 3475 y
(arXiv:math.RA/0509240.)0 3558 y(11.)35 b(K.)e(A.)f(Y)-6
b(usenk)n(o,)36 b Fh(On)e(quadruples)i(of)f(pr)l(oje)l(ctions)g(c)l
(onne)l(cte)l(d)h(with)e(line)l(ar)h(e)l(quation)p Fw(,)h(Ukr.)c(Math.)
h(J.)g(\(to)125 3641 y(app)r(ear\))100 3797 y Fv(Institute)21
b(of)f(Ma)l(thema)l(tics,)h(Na)l(tional)f(A)n(cademy)g(of)g(Sciences)h
(of)f(Ukraine,)i(3)e(Tereshchenkivs'ka,)0 3880 y(Kyiv,)25
b(01601,)f(Ukraine)100 3963 y Fh(E-mail)i(addr)l(ess)5
b Fw(:)33 b Fa(kay@imath.kiev.ua)p eop end
%%Trailer

userdict /end-hook known{end-hook}if
%%EOF