One Hat Cyber Team
Your IP :
216.73.216.80
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
usr
/
share
/
Macaulay2
/
View File Name :
HighestWeights.m2
-------------------------------------------------------------------------------- -- Copyright 2014 Federico Galetto -- -- This program is free software: you can redistribute it and/or modify it under -- the terms of the GNU General Public License as published by the Free Software -- Foundation, either version 3 of the License, or (at your option) any later -- version. -- -- This program is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS -- FOR A PARTICULAR PURPOSE. See the GNU General Public License for more -- details. -- -- You should have received a copy of the GNU General Public License along with -- this program. If not, see <http://www.gnu.org/licenses/>. -------------------------------------------------------------------------------- newPackage( "HighestWeights", Version => "0.6.5", Date => "July 03, 2015", AuxiliaryFiles => true, Authors => {{Name => "Federico Galetto", Email => "galetto.federico@gmail.com", HomePage => "http://math.galetto.org"}}, Headline => "decompose free resolutions and graded modules with a semisimple Lie group action", Keywords => {"Lie Groups and Lie Algebras", "Homological Algebra"}, PackageImports => {"OldChainComplexes"}, PackageExports => {"WeylGroups", "Complexes"}, Certification => { "journal name" => "The Journal of Software for Algebra and Geometry", "journal URI" => "https://msp.org/jsag/", "article title" => "Free resolutions and modules with a semisimple Lie group action", "acceptance date" => "5 June 2015", "published article URI" => "https://msp.org/jsag/2015/7-1/p03.xhtml", "published article DOI" => "10.2140/jsag.2015.7.9", "published code URI" => "https://msp.org/jsag/2015/7-1/jsag-v7-n1-x03-HW.zip", "release at publication" => "a434adb94f76f9be38131f87745867b0d7925405", -- git commit number in hex "version at publication" => "0.6.5", "volume number" => "7", "volume URI" => "https://msp.org/jsag/2015/7-1/" } ) load "./HighestWeights/freudenthal.m2" load "./HighestWeights/main.m2" beginDocumentation() load "./HighestWeights/doc.m2" load "./HighestWeights/examples.m2" load "./HighestWeights/tests.m2" end --A little version history: --0.1: wrote a basic working version of the package! :-) --0.2: completed documentation and tests --0.2.1: suppressed minimality test for propagate --0.2.2: now with auxiliary files and freudenthal decomposition --0.2.3: new propagateWeights function --0.2.4: preliminary HW decomposition for resolutions (no multigrading) --0.2.5: HW decomposition for (multi)-graded rings --0.2.6: multigraded HW decomposition for resolutions --0.2.7: HW decomposition for modules (and improved? for quotients) --0.2.8: HW decomposition for ideals --0.3: main restructuring (incompatible with previous versions) --0.3.1: added documentation for propagateWeights --0.3.2: added range option for hwd for resolutions --0.3.3: added range input for hwd of modules, rings and ideals --0.3.4: added documentation for hwd of complexes, rings and ideals --0.4: complete documentation with examples --0.4.1: added simplified decomposition for res of quotient rings --0.4.2: switched to VirtulTally for characters --0.4.3: added tutorial examples --0.4.4: added tests and references --0.5: ready for distribution --0.5.1: can now handle position down (just in case!) --0.5.2: included some references in the documentation --0.6: updated documentation with more/better examples --0.6.1: decomposeWeightsList returns error if multiplicities are negative --0.6.2: included changes from technical comments --0.6.3: updated one reference --0.6.4: updated website link --0.6.5: updated reference to theory article