Poisson Superalgebras as nonassociative algebras

preprint2012arXivOpen access

Abstract

Poisson superalgebras are known as a Z2\mathbb{Z}_2-graded vector space with two operations, an associative supercommutative multiplication and a super bracket tied up by the super Leibniz relation. We show that we can consider a single nonassociative multiplication containing all these datas and then consider Poisson superalgebras as non associative algebras.

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