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- W2042094820 abstract "Let G be a noncompact, simple Lie group with finite center, let K be a maximal compact subgroup, and let g 0 = k 0 ⊕ p 0 be the corresponding decomposition of the Lie algebra. Suppose rank G =rank K , and let t 0 be a compact Cartan subalgebra and b be a Borel subalgebra. Let A b ( λ ) be a derived functor module with infinitesimal character λ + δ which is nondominant with respect to a noncompact simple root. Suppose that Λ = λ +2 δ ( p ) is K dominant so that the K type, τ Λ , with highest weight Λ occurs with multiplicity one in A b ( λ ). We develop conditions on the roots of g under which a functor of cohomological induction maps a certain module of parabolic induction to another module of parabolic induction, extending a result due to Vogan. This allows us, in many cases, to determine the Langlands parameters of the subquotient of A b ( λ ) containing τ Λ , via a conjectured method of Knapp." @default.
- W2042094820 created "2016-06-24" @default.
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- W2042094820 date "1998-08-01" @default.
- W2042094820 modified "2023-10-17" @default.
- W2042094820 title "The Langlands Parameters of Subquotients of Certain Derived Functor Modules" @default.
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- W2042094820 doi "https://doi.org/10.1006/jfan.1998.3246" @default.
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