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2010 Poisson structures on $C[X_1,... ,X_n$] associated with rigid Lie algebras
Nicolas Goze
J. Gen. Lie Theory Appl. 4: 1-12 (2010). DOI: 10.4303/jglta/G090501

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.

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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

Information

Published: 2010
First available in Project Euclid: 11 October 2011

zbMATH: 1239.17018
MathSciNet: MR2719413
Digital Object Identifier: 10.4303/jglta/G090501

Subjects:
Primary: 17B-XX

Rights: Copyright © 2010 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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