论典型单李群的A_q(λ)的Langlands参数(英文)  

On the Langlands parameters for A_q(λ) for classical simple Lie groups

作　　者：彭学梅 陈仲沪[1] 

机构地区：[1]湘潭大学数学系,湘潭411105

出　　处：《湘潭大学自然科学学报》2000年第1期106-114,共9页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金资助项目 !(18971069)

摘　　要：设G为具有有限中心的非紧致典型单李群且K为G的最大紧致子群 .假定rankG =rankK且G/K为非Hermitian对称 .当Aq(λ)在弱好区之外 ,给出了G的Aq(λ)Let G be a noncompact classical simple Lie group with finite center and K be its maximal compact subgroup.Letg 0 be the Lie algebra of G and g be its complexification.Suppose that rankG=rankK,and that G/K is not Hermitian symmetric.For the (g,K) module A q(λ) defined by,Knapp, they proposed a Conjectural Method for finding the Langlands parameters for the natural irreducible constituent of A q(λ) when λ is outside the weakly good range and proved that this Conjectural Method is successful when g 0≌so(2m,2n),m,n>1.In this paper it is proved that this Conjectural Method is successful for every noncompact classical simple groups.

关 键 词：非紧单李群 曲型单李群 Langlands参数 

分 类 号：O152.5[理学—数学]