English

Solutions to the matrix Yang-Baxter equation

Rings and Algebras 2023-02-14 v2

Abstract

In this article, we give a few classes of solutions for the Yang-Baxter type matrix equation, AXA=XAXAXA=XAX. We provide all solutions for the cases when AA 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.

Keywords

Cite

@article{arxiv.2209.04605,
  title  = {Solutions to the matrix Yang-Baxter equation},
  author = {Himadri Mukherjee and Askar Ali M},
  journal= {arXiv preprint arXiv:2209.04605},
  year   = {2023}
}
R2 v1 2026-06-28T01:03:17.405Z