Cohomology of infinite-dimensional Lie algebras and Laplace operators

DOI10.1007/BF01076378zbMath0404.17008OpenAlexW2073816918MaRDI QIDQ1256547

Israel M. Gel'fand, Boris L. Feigin, Dmitry Fuchs

Publication date: 1979

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01076378

zbMATH Keywords

CohomologyInfinite-Dimensional Lie AlgebrasAlgebra of Formal Vector FieldsCocycle RepresentationLaplace Operators

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56) Homology and cohomology theories in algebraic topology (55N99) Homology and homotopy of topological groups and related structures (57T99)

Cites Work

• Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
• Cohomology of Lie algebras of formal vector fields on the line
• Unnamed Item