一类斜群代数的CrE扩张的截断代数.pdf

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2、ofSkewGroupAlgebrasCandidateDerenLuoSupervisorandRankProf.JinyunGuoCollegeMathematicsandComputationalScienceProgramPureMathematicsSpecializationRepresentationTheoryofAlgebrasDegreeMasterofScienceUniversityXiangtanUniversityDateApril20th,2012‰ŒÆÆØ©M5(²

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14、tructtheCrEextensionsGSL(3;C)ofcyclicsubgroupNofSL(2;C),jNj=n+1.Andwestudytheskewgroupalgebra^VG=kQG=Gandpropertiesoftheirtiltingmodules.Inchapter2,weintroducesomepreliminaryknowledge,recallthedenitionsofMcKayquiverandskewgroupalgebraandrecallsomeprope

15、rtiesofone-pointextensionaswell.Inchapter3,wemainlyconstructtheCrEextensionsandtruncationsofMcKayquiveroftypeAfnandthespecialtruncationquiveraswell.Inchapter4,weshowsomepropertiesofspecialtruncationalgebra,weshowthatanyspecialtruncationalgebraofthesamequive

16、rareisomorphism,andifthetotaltruncationquiverhave3components,thetrivialextensionofspecialtruncationalgebraisomorphictotheoriginalskewgroupalgebra.WealsoshowthattheAR-quiverofspecialtruncationalgebrahav