Quadratic Poisson brackets compatible with an algebra structure
High Energy Physics - Theory
2009-10-28 v2 Quantum Algebra
Abstract
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A notion of a bracket compatible with the multiplication is introduced and an effective criterion of such compatibility is given. Among compatible brackets, a subclass of coboundary brackets is described, and such brackets are enumerated in a number of examples.
Cite
@article{arxiv.hep-th/9407041,
title = {Quadratic Poisson brackets compatible with an algebra structure},
author = {A. A. Balinsky and Yu. Burman},
journal= {arXiv preprint arXiv:hep-th/9407041},
year = {2009}
}
Comments
6 pages