Belavin Elliptic R-Matrices and Exchange Algebras

Details Belavin Elliptic R-Matrices and Exchange Algebras Belavin Elliptic R-Matrices and Exchange Algebras

2002-11-06

arxiv.org/abs/math/0211106v1

Mathematics

Quantum Algebra

Latex, 22 pages, published in Funct.Anal.Applic. Vol. 36, No. 1

Scientific paper

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.

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