Solutions to the matrix Yang-Baxter equation

Published 10 Sep 2022 in math.RA | (2209.04605v2)

Abstract: In this article, we give a few classes of solutions for the Yang-Baxter type matrix equation, $AXA=XAX$. We provide all solutions for the cases when $A$ is equivalent to a Jordan block or has precisely two Jordan blocks. We also have given a few general properties of the solutions of the YB-equation.

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