Cohomology of the Lie algebra of smooth vector fields of a manifold, associated to the Lie derivative of smooth forms

Publication date: 1983

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

cohomology of the general linear group local Chevalley cohomology of the Lie algebra of vector fields of a manifold associated to the representation defined by the Lie derivative on the space of smooth forms local cochains symbols of the cochains

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Differential forms in global analysis (58A10) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56)

Related Items (8)

Sur la suite exacte canonique associée à un fibré principal ⋮ The evaluation map in field theory, sigma-models and strings. I ⋮ Lie algebraic characterization of manifolds ⋮ Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations ⋮ Chevalley cohomology for linear graphs ⋮ On the cohomology of vector fields on parallelizable manifolds ⋮ Derivations of the Lie algebras of differential operators ⋮ Existence of star-products on exact symplectic manifolds

This page was built for publication: Cohomology of the Lie algebra of smooth vector fields of a manifold, associated to the Lie derivative of smooth forms