Multiplicity, invariants and tensor product decompositions of tame representations of U(∞)

DOI10.1063/1.533172zbMath0970.22016arXivmath-ph/9910025OpenAlexW3106221277MaRDI QIDQ2737863

R. Michael Howe, Tuong Ton-That

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9910025

zbMATH Keywords

unitary representationsClebsch-Gordan coefficientsinfinite-dimensional classical groups

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (2)

Duality between compactness and discreteness beyond Pontryagin duality ⋮ A criterion for a topological group to admit a continuous embedding in a locally compact group

Cites Work

• Decomposition of regular representations for \(U(H)_{\infty}\)
• Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups
• Dual representations of and decomposition of Fock spaces
• Multiplicity, invariants, and tensor product decompositions of compact groups

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