Generalized Poisson structures
高能物理 - 理论
2008-02-03 v2 量子代数
q-alg
摘要
New generalized Poisson structures are introduced by using skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are given by the vanishing of the Schouten-Nijenhuis bracket. As an example, we provide the linear generalized Poisson structures which can be constructed on the dual spaces of simple Lie algebras.
引用
@article{arxiv.hep-th/9611221,
title = {Generalized Poisson structures},
author = {J. A. de Azcarraga and A. M. Perelomov and J. C. Perez Bueno},
journal= {arXiv preprint arXiv:hep-th/9611221},
year = {2008}
}
备注
Latex file; 5 pages. Some latex problems solved. Talk given at the XXI International Colloquium on Group Theoretical Methods in Physics. July 1996, Goslar, Germany. To appear in the Proceedings