Explicit form and convergence of 1-differential formal deformations of the Poisson Lie algebra

DOI10.1007/BF00405259zbMath0685.17012OpenAlexW2012485591WikidataQ115395030 ScholiaQ115395030MaRDI QIDQ1825943

D. Melotte, Claude Roger, Pierre B. A. Lecomte

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00405259

zbMATH Keywords

cohomologyde Rham cohomologyPoisson bracketsymplectic manifoldChevalley-Eilenberg complex1-differential, nc formal deformationsgraded cohomologySchouten graded Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) de Rham theory in global analysis (58A12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Cohomology of Lie (super)algebras (17B56)

Related Items (2)

Remarques sur la cohomologie de l'algebre de nijenhuis-richardson ⋮ On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold

Cites Work

• Application of the cohomology of graded Lie algebras to formal deformations of Lie algebras
• Deformation theory and quantization. I: Deformations of symplectic structures
• On the Volume Elements on a Manifold
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