A simple construction of elliptic $R$-matrices
Giovanni Felder, V. Pasquier
TL;DR
This paper presents a straightforward method to derive elliptic R-matrices by restricting an infinite-dimensional R-matrix, related to the Shibukawa--Ueno construction, to finite-dimensional subspaces, simplifying the understanding of Belavin's solutions.
Contribution
It introduces a simple construction of elliptic R-matrices by linking Belavin's solutions to a modified infinite R-matrix framework.
Findings
Belavin's solutions derived from restricted infinite R-matrix
Infinite R-matrix is a modified Shibukawa--Ueno R-matrix
Method simplifies the 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 -matrix to suitable finite dimensional subspaces. This infinite -matrix is a modified version of the Shibukawa--Ueno -matrix acting on functions of two variables.
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