Quadratic Poisson brackets and Drinfeld theory for associative algebras
q-alg
2009-10-28 v1 Quantum Algebra
Abstract
The paper is devoted to the Poisson brackets compatible with multiplication in associative algebras. These brackets are shown to be quadratic and their relations with the classical Yang--Baxter equation are revealed. The paper also contains a description of Poisson Lie structures on Lie groups whose Lie algebras are adjacent to an associative structure.
Keywords
Cite
@article{arxiv.q-alg/9503019,
title = {Quadratic Poisson brackets and Drinfeld theory for associative algebras},
author = {A. A. Balinsky and Yu. M. Burman},
journal= {arXiv preprint arXiv:q-alg/9503019},
year = {2009}
}
Comments
16 pages, latex, no figures