Special \(K\)-types, tempered characters and the Beilinson-Bernstein realization

DOI10.1215/S0012-7094-88-05614-1zbMath0655.22010MaRDI QIDQ1109154

Jen-Tseh Chang

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

D-modulesirreducible representationsirreducible admissible representationconnected semisimple Lie grouplowest K-types

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Affine algebraic groups, hyperalgebra constructions (14L17)

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Remarks on Localization and Standard Modules: The Duality Theorem on a Generalized Flag Variety, On the representations of Sp(p, q) and SO*(2n) unitarily induced from derived functor modules, Topological Frobenius reciprocity and invariant Hermitian forms, Mackey analogy as deformation of \(\mathcal{D}\)-modules, Analytic localization of group representations, Unnamed Item, Characteristic Cycles of Holomorphic Discrete Series, Mackey analogy via 𝒟-modules for SL(2, ℝ), Unnamed Item

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