Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups

DOI10.1007/978-1-4939-1590-3_19zbMath1322.22017arXiv1204.1357OpenAlexW1599353418MaRDI QIDQ5250248

Joseph A. Wolf

Publication date: 19 May 2015

Published in: Symmetry: Representation Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1357

zbMATH Keywords

minimal parabolic subgroupinfinite-dimensional Lie groupprinciple series representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (2)

Polynomial representations of \(C^\ast\)-algebras and their applications ⋮ Stepwise Square Integrability for Nilradicals of Parabolic Subgroups and Maximal Amenable Subgroups

Cites Work

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• Direct Systems of Spherical Functions and Representations
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• The Structure of a Class of Representations of the Unitary Group on a Hilbert Space
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• Parabolic and Levi Subalgebras of Finitary Lie Algebras
• Parabolic Subgroups of Real Direct Limit Groups
• A Bott-Borel-Weil theory for direct limits of algebraic groups
• Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations
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