A geometric formula for multiplicities of 𝐾-types of tempered representations

DOI10.1090/tran/7857zbMath1429.22015arXiv1805.02297OpenAlexW2968885407MaRDI QIDQ5243111

Yanli Song, Shilin Yu, Peter Hochs

Publication date: 14 November 2019

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

Full work available at URL: https://arxiv.org/abs/1805.02297

zbMATH Keywords

multiplicityreductionequivariant indextempered representationgeometric quantisation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50)

Related Items (2)

A geometric realisation of tempered representations restricted to maximal compact subgroups ⋮ Kirillov's orbit method: the case of discrete series representations

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