Mathematics of the USSR-Izvestiya · 1970 · 55 citations · 2 references
Natural SciencesMathematicsPhysicsAlgebraGeometryCohomology TheoryComplex GeometryDifferential GeometryHomological AlgebraLie AlgebrasSpacetime GeometryLie Algebra CohomologyLie Algebra ModulesLie Algebra TheoryLie Group Cohomology
We calculate the cohomology of the Lie algebra of formal vector fields at the origin in a euclidean space. The results are applied to the investigation of the Lie algebra of tangent vector fields on a smooth manifold.
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G. Hochschild, J-P. Serre · Annals of Mathematics · 1953 · 428 citations