Generalized Jacobi structures

Details Generalized Jacobi structures Generalized Jacobi structures

1997-07-02

arxiv.org/abs/hep-th/9707032v1

J.Phys.A30:6509-6515,1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e file. 11 pages. To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/30/18/024

Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group manifolds is also studied and non-trivial examples (different from those coming from generalized Poisson structures) of this new construction are found by using the cohomology ring of the given group.

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