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

preprint2020arXivOpen access

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

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