Poisson structures on associated with rigid Lie algebras

Abstract

We present the classical Poisson-Lichnerowicz cohomology for the Poisson algebra of polynomials $\mathbb{C}[X_1,...,X_n]$ 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.

References in corpus (1)

• Poisson (co)homology and isolated singularities