A generating function for Blattner’s formula

DOI10.1090/S0002-9939-08-09284-8zbMath1184.22007arXivmath/0612266OpenAlexW2079419789MaRDI QIDQ3506764

Jeb F. Willenbring, Gregg J. Zuckerman

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612266

zbMATH Keywords

discrete seriescoherent continuationBlattner's formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Cites Work

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• On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
• Representations of real reductive Lie groups
• On an infinitesimal characterization of the discrete series
• A proof of Blattner's conjecture
• \(L^2\)-cohomology and the discrete series
• The fundamental series of representations of a real semisimple Lie algebra
• Generalized Harish-Chandra modules with generic minimal \({\mathfrak k}\)-type
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Lie groups beyond an introduction

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