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1、RepresentationTheoryInandWithGAPLecture3GerhardHissGerhard.Hiss@Math.RWTH-Aachen.DELehrstuhlDfur¨Mathematik,RWTHAachenNETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,September1–5,2003–p.1/24–RobWilson’sAtlasofGroupRepresentations–TheGAPSharePackageAtlasRep–TheModularAtlasC
2、ontentsLecture3DatabasesNETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,September1–5,2003–p.2/24–TheGAPSharePackageAtlasRep–TheModularAtlasContentsLecture3Databases–RobWilson’sAtlasofGroupRepresentationsNETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,Septembe
3、r1–5,2003–p.2/24–TheModularAtlasContentsLecture3Databases–RobWilson’sAtlasofGroupRepresentations–TheGAPSharePackageAtlasRepNETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,September1–5,2003–p.2/24ContentsLecture3Databases–RobWilson’sAtlasofGroupRepresentations–TheGAPSharePa
4、ckageAtlasRep–TheModularAtlasNETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,September1–5,2003–p.2/24Throughoutmylectures,Gdenotesa?nitegroupandKa?eld.NETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,September1–5,2003–p.3/24http://web.mat.bham.ac.uk/atlas/v2.0
5、/TheserepresentationshavebeencomputedbyWilsonandcollaborators,e.g.,therepresentationofMofdegree196882overF2byLinton,Parker,WalshandWilson.MostofthisinformationisalsoavailableinGAPthroughtheAtlasRepsharepackage.RobWilson'sAtlasAhugecollectionofexplicitrepresentationsof?nitegroupsiscontai
6、nedinRobWilson’sWWWAtlasofFiniteGroupRepresentations:NETCAInstructionalWorkshoponComputationalAlgebra,StAndrews,UK,September1–5,2003–p.4/24TheserepresentationshavebeencomputedbyWilsonandcollaborators,e.g.,therepresentationofMofdegree196882overF2byLinton,Parker,WalshandWilson.Mostofthisi
7、nformationisalsoavailableinGAPthroughtheAtlasRepsharepackage.RobWilson'sAtlasAhugecollectionofexplicitrepresentationsof?nitegroupsiscontainedinRobWilson’sWWWAtlasofFiniteGroupRepresentations:http://web.mat.bham.ac.uk/atlas/v2.0/NETCAInstructionalWorkshoponComputationalAlgebra,S
