Titlebook: Geometry and Representation Theory of Real and p-adic groups; Juan Tirao,David A. Vogan,Joseph A. Wolf Textbook 1998 Birkhäuser Boston 199

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Der Mythos von Heidelberg: Max Weber,We use the Vogan calculus for a real reductive Lie group to constuct an action of the .-group on the set of indecomposable subrepresentations of any given standard representation. This action allows us to describe a formula for the decomposition of the standard representation.

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Einführung in die GesteinskundeThis paper is an outgrowth of our attempt to understand a comparison theorem of Casselman which asserts that Lie algebra homology groups, with respect to certain nilpotent algebras of a Harish-Chandra module and its .. completion, coincide. Let us start with a precise statement of this theorem.

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Hanfried Kerle,Reinhard PittschellisWe prove a result on the structure of the .-types for holomorphic discrete series of Sp.(ℝ). The proof applies the theory of multiplicity-free actions to the realization of holomorphic discrete series by means of the dual pair (Sp., O.).

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Einführung in die GetriebelehreLet . be a local non-Archimedean field with residual characteristic . and let . be the group of all invertible . × . matrices over ..

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An Action of the ,-group on the Langlands Subrepresentations,We use the Vogan calculus for a real reductive Lie group to constuct an action of the .-group on the set of indecomposable subrepresentations of any given standard representation. This action allows us to describe a formula for the decomposition of the standard representation.

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,A Remark on Casselman’s Comparison Theorem,This paper is an outgrowth of our attempt to understand a comparison theorem of Casselman which asserts that Lie algebra homology groups, with respect to certain nilpotent algebras of a Harish-Chandra module and its .. completion, coincide. Let us start with a precise statement of this theorem.