English

Involutive solutions of the Yang-Baxter-like matrix equation -- theory and algorithms

Rings and Algebras 2020-01-07 v1

Abstract

We find all explicit involutive solutions XCn×nX \in \mathbb C^{n \times n} of the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX, where ACn×nA \in \mathbb C^{n \times n} is a given involutory matrix. The construction is algorithmic.

Keywords

Cite

@article{arxiv.2001.01103,
  title  = {Involutive solutions of the Yang-Baxter-like matrix equation -- theory and algorithms},
  author = {Alicja Smoktunowicz and Ryszard R. Andruszkiewicz},
  journal= {arXiv preprint arXiv:2001.01103},
  year   = {2020}
}