Quasiregular representations of the infinite-dimensional nilpotent group

DOI10.1016/j.jfa.2006.03.013zbMath1098.22009OpenAlexW4238878166MaRDI QIDQ2497937

Sergio A. Albeverio, Alexander V. Kosyak

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.03.013

zbMATH Keywords

nilpotent groupinfinite-dimensional groupquasiregular representationinfinite tensor product of measures

Mathematics Subject Classification ID

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

Related Items (2)

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

Cites Work

• Integration on loop groups. I: Quasi invariant measures
• Factorial representations of path groups
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• Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality
• Gaussian measures in Banach spaces
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• Irreducibility criterion for regular Gaussian representations of groups of finite upper triangular matrices
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• On equivalence of infinite product measures
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