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arxiv: hep-th/9402011 · v1 · submitted 1994-02-02 · ✦ hep-th · math.QA

A simple construction of elliptic R-matrices

classification ✦ hep-th math.QA
keywords matrixinfiniteactingbelavinconstructiondimensionalellipticequation
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We show that Belavin's solutions of the quantum Yang--Baxter equation can be obtained by restricting an infinite $R$-matrix to suitable finite dimensional subspaces. This infinite $R$-matrix is a modified version of the Shibukawa--Ueno $R$-matrix acting on functions of two variables.

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