Analytic representation theory of Lie groups: general theory and analytic globalizations of Harish-Chandra modules

DOI10.1112/S0010437X11005392zbMath1237.22002arXiv1002.4345WikidataQ115256465 ScholiaQ115256465MaRDI QIDQ3094103

Bernhard Krötz, Henrik Schlichtkrull, Heiko Gimperlein

Publication date: 21 October 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4345

zbMATH Keywords

analytic representationglobalizationreal Lie groupHarish-Chandra module

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (5)

Volume growth, temperedness and integrability of matrix coefficients on a real spherical space ⋮ Continuity of LF-algebra representations associated to representations of Lie groups ⋮ Corrigendum: Analytic representation theory of Lie groups: general theory and analytic globalizations of Harish-Chandra modules ⋮ Analytic Dirac approximation for real linear algebraic groups ⋮ Analytic factorization of Lie group representations

Cites Work

• Analytic vectors
• Examples of locally compact non-compact minimal topological groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Vecteurs analytiques dans les représentations des groupes de Lie
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• Equivariant Derived Category and Representation of Real Semisimple Lie Groups
• Parameter dependence of solutions of partial differential equations in spaces of real analytic functions
• Reflexivity of Inductive Limits
• Spaces of Vector Valued Real Analytic Functions

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