New Generalized Poisson Structures
q-alg
2009-10-30 v1 dg-ga
高能物理 - 理论
微分几何
量子代数
摘要
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.
引用
@article{arxiv.q-alg/9601007,
title = {New Generalized Poisson Structures},
author = {J. A. de Azcarraga and A. M. Perelomov and J. C. Perez Bueno},
journal= {arXiv preprint arXiv:q-alg/9601007},
year = {2009}
}
备注
TeX file, 13 pages. PHYZZX.TEX is needed