Unitary representations of the group \(SO_ 0(\infty,\infty)\) as limits of unitary representations of the groups \(SO_ 0(n,\infty)\) as n\(\to \infty\)

DOI10.1007/BF01083495zbMath0628.22009OpenAlexW2015108552MaRDI QIDQ1093023

Grigori Olshanski

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083495

zbMATH Keywords

spherical functionsmultiplicitiesinfinite-dimensional groupsirreducible admissible representationstype Ivon-Neumann algebra(G,K)-pair

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items

On representations of the infinite symmetric group, A product on double cosets of \(B_\infty\), Grigori Iosifovich Olshanski, Separable representations for automorphism groups of infinite symmetric spaces, Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras

Cites Work

• Deformations of bouquets of quasihomogeneous one-dimensional singularities
• Representations of \(AF\)-algebras and of the group \(U(\infty)\)
• Branching rules for classical Lie groups using tensor and spinor methods
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