Generalized Poisson structures
classification
✦ hep-th
math.QAq-alg
keywords
generalizedpoissonstructuresalgebrasbracketconstructedcontravariantcorresponding
read the original abstract
New generalized Poisson structures are introduced by using skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are given by the vanishing of the Schouten-Nijenhuis bracket. As an example, we provide the linear generalized Poisson structures which can be constructed on the dual spaces of simple Lie algebras.
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