Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle

DOI10.1007/BF02101492zbMath0840.22036OpenAlexW2032621684MaRDI QIDQ1908830

Yuriĭ A. Neretin

Publication date: 7 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf02101492

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (6)

Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry ⋮ Gaussian measures on linear spaces ⋮ REMARKS ON THE IMPRIMITIVITY THEOREM FOR NONLOCALLY COMPACT POLISH GROUPS ⋮ Differentiable measures and the Malliavin calculus ⋮ Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

Cites Work

• Integration on loop groups. I: Quasi invariant measures
• A quasiinvariant smooth measure on the diffeomorphism group of a domain
• Infinite dimensional Lie algebras. An introduction
• Factorial representations of path groups
• Unitary representations with highest weight of the group of diffeomorphisms of a circle
• Unitary representations of the group of diffeomorphisms of a circle
• The complementary series of representations of the group of diffeomorphisms of the circle
• Tensor Products of Unitary Representations of SL 2 (R)
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