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Titlebook: Representation Theory of Reductive Groups; Proceedings of the U P. C. Trombi Conference proceedings 1983 Birkh?user Boston, Inc. 1983 Group

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,Completeness of Poincaré Series for Automorphic Forms Associated to the Integrable Discrete Series,H.(D; .) by an integrable discrete series representation, where s is the complex dimension of the maximal compact subvariety K/V in D, then every Г-automorphic L. cohomology class ψ∈ H. (ГD; .), 1 ? p ? ∞, is represented by a Poincaré series
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Conference proceedings 1983of the Department of Mathematics, University of Utah. Funding for the conference was provided by the National Science Foundation. The text includes a number of original papers together with expository articles on work already in print. It is hoped that the volume will be of use to both experts in th
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A Classification of Unitary Highest Weight Modules,lgebra of G. A unitary representation (π,H) of G such that the underlying (?K) — module is an irreducible quotient of a Verma module for ?. is called a unitary highest weight module. Harish-Chandra ([4],[5]) has shown that G admits nontrivial unitary highest weight modules precisely when (G,K) is a
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,All Supercuspidal Representations of SL? over a P-Adic Field are Induced,ions of the absolute Weil group W. of F should parameterize naturally the admissible, irreducible (nonspecial) representations of G, and that, in particular, the ., n-dimensional representations of W. should correspond under this parameterization to the irreducible supercuspidal representations of G
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