Quasiregular representations of the infinite-dimensional Borel group

DOI10.1016/j.jfa.2004.03.009zbMath1058.22015OpenAlexW2059751845MaRDI QIDQ1763942

Alexander V. Kosyak, Sergio A. Albeverio

Publication date: 22 February 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.03.009

zbMATH Keywords

irreducibilitysolvable groupquasi-invariant measuresinfinite-dimensional groupregular representationsBorel groupErgodic measuresIsmagilov conjecturequasiregular(geometric) representations

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Analysis on other specific Lie groups (43A80) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (2)

Criteria of irreducibility of the Koopman representations for the group \(\mathrm{GL}_0(2\infty,\mathbb R)\) ⋮ Quasiregular representations of the infinite-dimensional nilpotent group

Cites Work

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• On equivalence of infinite product measures
• Certain Unitary Representations of the Infinite Symmetric Group, I
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