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《關(guān)于局部對稱空間的上同調(diào)和李群不可約表示的上同調(diào)的分析》由會員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫。
1、萬方數(shù)據(jù)山東大學(xué)碩士學(xué)位論文4．2．1Zuckerman函子11及其導(dǎo)出函子????????．．224．2．2Bernstein函子Ⅱ及其導(dǎo)出函子?????????234．2．3su(2，1)上的導(dǎo)出函子．．?．．??．．．．．．?．．．．．?．．?．244．3上同調(diào)誘導(dǎo)模?????????????????254．3．1口一不變的拋物子代數(shù)????????????．254．3．2上同調(diào)誘導(dǎo)模???????????????264．3．3SU(1，1)的上同調(diào)誘導(dǎo)模???????????．274．4A(A)模???????????????
2、????28第五章離散序列表示?????????????????315．1所有的離散序列????????????????．315．2無窮小特征標(biāo)為Xp的sⅣ(1，1)一離散序列???????．．335．3無窮小特征標(biāo)為X口的su(2，1)一離散序列???????．．36第六章上同調(diào)之間的關(guān)系???????????????．436．1局部對稱空間的上同調(diào)??????????????436．2(g，K)一上同調(diào)．．???．．．????????????456．3Vogan—Zuckerman分類?????????．．．．．．．?．．．．．4
3、66．4Dirac上同調(diào)決定(g，K)一上同調(diào)??????????．．47參考文獻(xiàn)．??．．．????．???．??????????．．49致謝???????????????????????．53萬方數(shù)據(jù)山東大學(xué)碩士學(xué)位論文CoNTENTSChineseAbstract．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．IEnglishAbstract?．?．?．．．????．?．????????．．IIIChapter1Introduction???．??．．．?．．
4、??．?．??．．?．．?11．1BackgroundinRepresentationTheoryofLieGroups???．?．11．2DiracOperatorsandDiracCohomology．．．．．．．．．．．．．．．．．．．．．．．．．．．21．3DiscreteSeriesRepresentationsanditsCohomology．．．．．．．．．．．．．．．2Chapter2RepresentationTheoryofRealReductiveLieGroups．．．．．．．．．．．32．1Infinite—
5、dimensionalRepresentationsofLieGroups．．．．．．2．1．1Irreducible(st(2，c)，S0(2))一Modules．?．．．?．．，???72．2InfinitesimalCharacters?．．????．．．．．．?．．．?．．?．．．．．．82．3TensorProductsofRepresentations．．．．???????．．?10Chapter3DiracOperators．DiracCohomology?．????．．??．．113．1CliffordAlgebras
6、?．??????????．．?．??．．113．2SpinModules．．．．?．??．．．．??????．．???．．?123．3DiracOperators．．．．．．．?．????????????．．153．4DiracCohomology??．???????．．??．．???16Chapter4CohomologicalInduction．?．?．?．．．．．?????．．．．．194．1AdjointFunctors?．．．?．????????????．．194．1．1ConstructionofProjectivesan
7、dInjectives?????．．204．1．2KoszulResolutions?????．?．??????．．2l4．2ZuckermanFunctorsandBernsteinFunctors??．????．．22——III萬方數(shù)據(jù)山東大學(xué)碩士學(xué)位論文4．2．1ZuckermanFunctorsFanditsDerivedFunctors???．．224．2．2BernsteinFunctorsⅡanditsDerivedFunctors??．．．?．234．2．3DerivedFunctorsonSU(2，1)???．．．?
8、．????．．244．3CohomologicallyInducedModules???．．．?．??．??．．254．3．10-StableParabolicSubalgebras．???．??．．．．．?．．264．
