Generalized Jacobi structures
高能物理 - 理论
2008-11-26 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.hep-th/9707032,
title = {Generalized Jacobi structures},
author = {J. C. Perez Bueno},
journal= {arXiv preprint arXiv:hep-th/9707032},
year = {2008}
}
备注
Latex2e file. 11 pages. To appear in J. Phys. A