【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)的Langlands参数更多还原

【Abstract】 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.更多还原