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