Generalized Jacobi structures
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.hep-th/9707032,
title = {Generalized Jacobi structures},
author = {J. C. Perez Bueno},
journal= {arXiv preprint arXiv:hep-th/9707032},
year = {2008}
}
Comments
Latex2e file. 11 pages. To appear in J. Phys. A