New Generalized Poisson Structures
q-alg
2009-10-30 v1 dg-ga
High Energy Physics - Theory
Differential Geometry
Quantum Algebra
Abstract
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.
Cite
@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}
}
Comments
TeX file, 13 pages. PHYZZX.TEX is needed