Odd Jacobi Manifolds and Loday-Poisson Brackets

Andrew James Bruce

Journal of Mathematics, 2014, vol. 2014, 1-10

Abstract:

We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets. We examine the relations between the Hamiltonian vector fields with respect to both the odd Jacobi structure and the Loday-Poisson structure. Furthermore, we show that the Loday-Poisson bracket satisfies the Leibniz rule over the noncommutative product derived from the homological vector field.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:630749

DOI: 10.1155/2014/630749

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