Poisson structures on associated with rigid Lie algebras
Rings and Algebras
2009-11-18 v1 Mathematical Physics
math.MP
Abstract
We present the classical Poisson-Lichnerowicz cohomology for the Poisson algebra of polynomials 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.
Cite
@article{arxiv.0911.3220,
title = {Poisson structures on associated with rigid Lie algebras},
author = {Nicolas Goze},
journal= {arXiv preprint arXiv:0911.3220},
year = {2009}
}