On the computation of the Lichnerowicz--Jacobi cohomology.
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Publication:1864933
DOI10.1016/S0393-0440(02)00056-6zbMath1092.53060OpenAlexW2051244734MaRDI QIDQ1864933
Juan Carlos Marrero, Manuel de León, Belén López, Edith Padrón
Publication date: 23 March 2003
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0393-0440(02)00056-6
Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10) Cohomology of Lie (super)algebras (17B56)
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Cites Work
- Unnamed Item
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- The local structure of Poisson manifolds
- Remarks on the Lichnerowicz-Poisson cohomology
- Géométrie des algèbres de Lie locales de Kirillov
- Locally conformal symplectic manifolds
- Représentation coadjointe quotient et espaces homogènes de contact ou localement conformément symplectiques. (Quotient coadjoint representation and homogeneous contact or locally conformally symplectic spaces)
- Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds)
- Poisson geometry
- Poisson cohomology of regular Poisson manifolds
- Cohomologie 1-différentiable des algèbres de Lie attachees à une variété symplectique ou de contact
- Contact manifolds in Riemannian geometry
- Les variétés de Poisson et leurs algèbres de Lie associees
- Les variétés de Jacobi et leurs algèbres de Lie associees
- Lectures on the geometry of Poisson manifolds
- The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
- Lie-Poisson Structure on Some Poisson Lie Groups
- LOCAL LIE ALGEBRAS
- Lichnerowicz - Jacobi cohomology
- La cohomologie de Lichnerowicz-Jacobi pour les variétés de Jacobi
- H-Chevalley-Eilenberg cohomology of a Jacobi manifold and Jacobi-Chern class
- On the geometric quantization of Jacobi manifolds
- The BV-algebra of a Jacobi manifold
- Orbits of Families of Vector Fields and Integrability of Distributions
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