New Generalized Poisson Structures

Abstract

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.

TeX file, 13 pages. PHYZZX.TEX is needed

References in corpus (1)

• On Foundation of the Generalized Nambu Mechanics

Cited by in corpus (27)

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