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arXiv · 2001.01103

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

Alicja Smoktunowicz·Ryszard R. Andruszkiewicz
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Abstract

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

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Alicja Smoktunowicz, Ryszard R. Andruszkiewicz. 2020-01-04. Involutive solutions of the Yang-Baxter-like matrix equation -- theory and algorithms. https://arxiv.org/abs/2001.01103

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