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About: Poisson superalgebra     Goto   Sponge   NotDistinct   Permalink

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In mathematics, a Poisson superalgebra is a Z2-graded generalization of a Poisson algebra. Specifically, a Poisson superalgebra is an (associative) superalgebra A with a Lie superbracket such that (A, [·,·]) is a Lie superalgebra and the operator is a superderivation of A: A supercommutative Poisson algebra is one for which the (associative) product is supercommutative.