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

Published 4 Jan 2020 in math.RA | (2001.01103v1)

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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