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\relax \catcode`"\active \select@language{ukrainian} \@writefile{toc}{\select@language{ukrainian}} \@writefile{lof}{\select@language{ukrainian}} \@writefile{lot}{\select@language{ukrainian}} \@writefile{toc}{\contentsline {section}{\tocsection {}{}{0. Introduction}}{1}} \@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Posets and their linear representations}}{2}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.1}{Posets and Hasse diagrams}}{2}} \citation{GabrielRoiter} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.2}{Linear representations of posets. Indecomposability and Bricks}}{3}} \citation{GabrielRoiter} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.3}{Posets and Quivers}}{4}} \citation{Kleiner} \citation{GabrielRoiter} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.4}{Finite type posets}}{5}} \citation{DlabRingel} \citation{DonovanFreishlih} \citation{Gelfand I. M.&Ponomarev V. A.} \citation{Drozd} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.5}{Coxeter functors for representations of posets in linear spaces}}{6}} \citation{Drozd} \citation{KruglyaSamoilenko} \newlabel{Drozd}{{1.4}{7}} \@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Hilbert representations of posets}}{7}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.1}{Unitary representations of posets}}{7}} \citation{KruglyakNazarovaRoiter2} \newlabel{linear_rel}{{2.1}{8}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.2}{Certain $*$-algebras and their representation}}{8}} \newlabel{algebra}{{2.2}{8}} \citation{KPS05} \citation{KPS05} \citation{KruglyakRoiter} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.3}{Coxeter functors for representations of $*$-algebras}}{10}} \@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Unitarization of linear representations of posets}}{10}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.1}{Unitarization}}{10}} \citation{KruglyakRoiter} \@writefile{toc}{\contentsline {section}{\tocsection {}{}{Appendix.}}{11}} \bibcite{GabrielRoiter}{1} \bibcite{Brenner}{2} \bibcite{KruglyaSamoilenko}{3} \bibcite{Kleiner}{4} \bibcite{Drozd}{5} \bibcite{CrawleyBoevey&Ceiss}{6} \bibcite{DlabRingel}{7} \bibcite{DonovanFreishlih}{8} \bibcite{EnomotoWatatani}{9} \bibcite{Gelfand I. M.&Ponomarev V. A.}{10} \bibcite{KPS05}{11} \bibcite{KruglyakNazarovaRoiter2}{12} \bibcite{KruglyakRoiter}{13} \bibcite{MoskalevaSamoilenko}{14} \bibcite{MosOstYus07}{15} \@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{16}} \newlabel{tocindent-1}{0pt} \newlabel{tocindent0}{12.77466pt} \newlabel{tocindent1}{17.77344pt} \newlabel{tocindent2}{25.54932pt} \newlabel{tocindent3}{0pt} \lastpage{17}
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