On the cohomology of the spaces of differential operators acting on skewsymmetric tensor fields or on forms, as modules of the Lie algebra of vector fields.

DOI10.1016/J.DIFGEO.2003.10.012zbMath1038.17017arXivmath/0208251OpenAlexW2034546750WikidataQ115358095 ScholiaQ115358095MaRDI QIDQ1426677

Pierre B. A. Lecomte, Faouzi Ammar, Boujemaâ Agrebaoui

Publication date: 15 March 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208251

zbMATH Keywords

cohomologydifferential operatorsfirst cohomology groupLie algebra of vector fieldsdifferentiable manifoldmodule of linear differential operators

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Integral geometry (53C65) Cohomology of Lie (super)algebras (17B56)

Related Items (2)

On the Cohomology of the Lie Superalgebra of Contact Vector Fields onS^1|m ⋮ Derivations of the Lie algebras of differential operators

Cites Work

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• Projectively equivariant symbol calculus
• On the cohomologies of infinite-dimensional Lie algebras of vector fields
• Natural Operations on Differential Forms
• Deformations of Modules of Differential Forms
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol

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