Quasi-invariant measures on the group of diffeomorphisms and smooth vectors of unitary representations

DOI10.1006/jfan.2001.3807zbMath0997.58004OpenAlexW2052834676MaRDI QIDQ5957483

Hiroaki Shimomura

Publication date: 7 November 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3807

zbMATH Keywords

unitary representationgroup of diffeomorphismsnoncompact manifoldquasi-invariant measuressmooth vectors

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Jets in global analysis (58A20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (8)

On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass. II ⋮ Diffeomorphism groups of compact manifolds ⋮ Characters of the BMS group in three dimensions ⋮ Notes on the BMS group in three dimensions. II: Coadjoint representation ⋮ Positive-definite functions on infinite-dimensional groups ⋮ Irreducible decompositions of unitary representations of infinite-dimensional groups

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