All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two

Duanmei Zhou and Jiawen Ding

Complexity, 2020, vol. 2020, 1-7

Abstract:

Let be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation . We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation. When is a nilpotent matrix with rank 1 and rank 2, we get all solutions of the Yang–Baxter-like matrix equation.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2585602

DOI: 10.1155/2020/2585602

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