Pursell-Shanks type theorem for free G-manifolds

DOI10.2977/prims/1195186716zbMath0464.57018OpenAlexW1990588501MaRDI QIDQ1154160

Kazuhiko Fukui

Publication date: 1981

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195186716

zbMATH Keywords

compact connected semi-simple Lie groupinducing isomorphisms between the Lie algebras of vectorfields of manifolds by diffeomorphismsLie algebras of all G-invariant vector fields with compactparacompact, connected free G- manifolds

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Infinite-dimensional Lie (super)algebras (17B65) Differentiable manifolds, foundations (58A05)

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