Belavin Elliptic R-Matrices and Exchange Algebras

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We study Zamolodchikov algebras whose commutation relations are described by Belavin matrices defining a solution of the Yang-Baxter 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.
Latex, 22 pages, published in Funct.Anal.Applic. Vol. 36, No. 1

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Quantum Algebra, High Energy Physics - Theory, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/65567

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211106
 http://arxiv.org/abs/math/0211106

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arXiv