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On the Leibniz Homology of Poisson Algebras

Authors:	Papadopoulo Georges

Institution:	(1) Department of Mathematics, University of Basel, Rheinsprung 21, CH-4051 Basel, Switzerland

Abstract:	We study the Leibniz homology of the Poisson algebra of polynomial functions over (²ⁿ,) where is the standard symplectic structure. We identify it with certain highest-weight vectors of some $\mathfrak{s}\mathfrak{p}$ _2n( $\mathbb{C}$ )-modules and obtain some explicit result in low degree.

Keywords:	Leibniz algebras homology
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