Abstract
We present the classical Poisson-Lichnerowicz cohomology for the Poisson algebra of polynomials $C[X_1,... ,X_n]$ using exterior calculus. After presenting some non-homogenous Poisson brackets on this algebra, we compute Poisson cohomological spaces when the Poisson structure corresponds to a bracket of a rigid Lie algebra.
Citation
Nicolas Goze. "Poisson structures on $C[X_1,... ,X_n$] associated with rigid Lie algebras." J. Gen. Lie Theory Appl. 4 1 - 12, 2010. https://doi.org/10.4303/jglta/G090501
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