COHOMOLOGY OF GROUPS AND ALGEBRAS OF FLOWS

DOI10.1070/RM1980V035N02ABEH001646zbMath0461.57014OpenAlexW2019013928MaRDI QIDQ3911107

Boris L. Feigin

Publication date: 1980

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1980v035n02abeh001646

zbMATH Keywords

cohomology of the manifold of smooth maps into a Lie groupcontinuous cohomology of the Lie-algebra of smooth maps from a manifold into a Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Homology and cohomology of Lie groups (57T10) Spaces of embeddings and immersions (58D10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

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Some examples of the algebra of flows ⋮ Algebras for the two-sphere and the three-sphere groups of compact simple Lie groups

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