Poisson structures on associated with rigid Lie algebras

Details Poisson structures on associated with rigid Lie algebras Poisson structures on associated with rigid Lie algebras

2009-11-17

arxiv.org/abs/0911.3220v1

Mathematics

Rings and Algebras

Scientific paper

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.

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