Belavin Elliptic RMatrices and Exchange Algebras
Abstract
We study Zamolodchikov algebras whose commutation relations are described by Belavin matrices defining a solution of the YangBaxter equation (Belavin $R$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 $n$th root of unity entering the definition of Belavin $R$matrices.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2002
 DOI:
 10.48550/arXiv.math/0211106
 arXiv:
 arXiv:math/0211106
 Bibcode:
 2002math.....11106O
 Keywords:

 Quantum Algebra;
 Exactly Solvable and Integrable Systems
 EPrint:
 Latex, 22 pages, published in Funct.Anal.Applic. Vol. 36, No. 1