1-cocycles on the group of diffeomorphisms

DOI10.1215/kjm/1250518005zbMath0952.58005OpenAlexW4233253054MaRDI QIDQ1296412

Hiroaki Shimomura

Publication date: 7 January 2001

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518005

zbMATH Keywords

unitary representationcocycleLie group of diffeomorphisms

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25)

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

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