A simple construction of elliptic $R$-matrices

Abstract

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.

6 pages

Cited by in corpus (9)

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• Simple Construction of Elliptic Boundary K-Matrix
• Vertex--IRF correspondence and factorized L-operators for an elliptic R-operator
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• R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of ${\mathrm{BC}}_n$ type
• Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation
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