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Quadratic Algebras of Type AIII(Ⅲ)
作者姓名:张贺春
作者单位:Jakobsen H.,Jndrup S.,Zhang Hechun  Department of Mathematics,University of Copenhagen DK|2100,Denmark; Department of Applied Mathematics,Tsinghua University,Beijing 100084
基金项目:Supported by the National Natural Science Foundationof China(No.194 0 10 2 1)
摘    要:IntroductionTherepresentationtheoryofMq(n)isrelatedtotherepresentationtheoryofthealgebraoffunctionsonthequantizedSL(n),roughlyspeaking,bysettingthequantumdeterminantequalto1.ThustheinvestigationbySoibelman[1]isofimportance.ThearticlesbyDeConciniandLyubashenko[2]andDeConciniandProcesi[3,4]culminateinacompleteclassificationoftheirreduciblerepresentationsofthequantumfunctionalgebras,correspondingtoasimplecomplexLiegroup,atarootofunity.Besidestheserepresentations,acompletelynewclassofrepresen…

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