On the cohomology of the Lie algebra of Hamiltonian vector fields

DOI10.1016/0022-1236(92)90028-HzbMath0783.17009OpenAlexW1978201208MaRDI QIDQ1803318

Olivier Mathieu, Israel M. Gel'fand

Publication date: 29 June 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90028-h

zbMATH Keywords

cyclic homologysymplectic manifoldHamiltonian vector fieldscohomology of Lie algebra of vector fields

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Cohomology of Lie (super)algebras (17B56)

Related Items (1)

On cohomology of the Lie algebra of pseudodifferential symbols on a circle

Cites Work

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• A differential complex for Poisson manifolds
• The algebra of Weyl symmetrised polynomials and its quantum extension
• Cohomologie 1-différentiable des algèbres de Lie attachees à une variété symplectique ou de contact
• A local combinatorial formula for the first class of Pontryagin
• Cohomologie 3-différentiable de l'algèbre de Poisson d'une variété symplectique
• Cohomologies of Lie algebra of tangential vector fields. II
• Cohomology of the Lie algebra of Hamiltonian formal vector fields

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