Poisson structures on associated with rigid Lie algebras
Abstract
We present the classical Poisson-Lichnerowicz cohomology for the Poisson algebra of polynomials C[X1,..., Xn] using exterior calculus. After presenting some non homogeneous Poisson brackets on this algebra, we compute Poisson cohomological spaces when the Poisson structure corresponds to a bracket of a rigid Lie algebra.
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