Generalized Poisson structures
High Energy Physics - Theory
2008-02-03 v2 Quantum Algebra
q-alg
Abstract
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.
Cite
@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}
}
Comments
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