J A de Azcárraga1, A M Perelomov1 and J C Pérez Bueno1
Published under licence by IOP Publishing Ltd
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Citation J A de Azcárraga et al 1996 J. Phys. A: Math. Gen. 29 L151
DOI 10.1088/0305-4470/29/7/001
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New generalized Poisson structures are introduced by using suitable skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are provided by conditions on these tensors, which may be understood as cocycle conditions. As an example, we provide the linear generalized Poisson structures which can be constructed on the dual spaces of simple Lie algebras.