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Quasi-invariant measures and irreducible representations of the inductive limit of special linear groups

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Publication:2486691
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DOI10.1023/B:FAIA.0000024870.75044.0EzbMath1067.22008MaRDI QIDQ2486691

Alexander V. Kosyak

Publication date: 5 August 2005

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


zbMATH Keywords

quasi-invariant measureirreducible unitary representationIsmagilov's conjectureinfinite-dimensional special linear group


Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) General groups of measure-preserving transformations and dynamical systems (37A15)


Related Items (4)

Criteria of irreducibility of the Koopman representations for the group \(\mathrm{GL}_0(2\infty,\mathbb R)\) ⋮ Quasiregular representations of the infinite-dimensional Borel group ⋮ Quasiregular representations of the infinite-dimensional nilpotent group ⋮ A Model with Interacting Assets Driven by Poisson Processes







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