Belavin Elliptic R-Matrices and Exchange Algebras
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We study Zamolodchikov algebras whose commutation relations are described by Belavin matrices defining a solution of the Yang-Baxter equation (Belavin -matrices). Homomorphisms of Zamolodchikov algebras into dynamical algebras with exchange relations and also of algebras with exchange relations into Zamolodchikov algebras are constructed. It turns out that the structure of these algebras with exchange relations depends substantially on the primitive th root of unity entering the definition of Belavin -matrices.
Keywords
Cite
@article{arxiv.math/0211106,
title = {Belavin Elliptic R-Matrices and Exchange Algebras},
author = {Alexander Odesskii},
journal= {arXiv preprint arXiv:math/0211106},
year = {2007}
}
Comments
Latex, 22 pages, published in Funct.Anal.Applic. Vol. 36, No. 1