New Generalized Poisson Structures

Details New Generalized Poisson Structures New Generalized Poisson Structures

1996-01-11

arxiv.org/abs/q-alg/9601007v1

J.Phys. A29 (1996) L151-L157

Physics

High Energy Physics

High Energy Physics - Theory

TeX file, 13 pages. PHYZZX.TEX is needed

Scientific paper

10.1088/0305-4470/29/7/001

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.

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