Some non-commuting solutions of the Yang-Baxter-like matrix equation

Let A be a square matrix satisfying A4=A{A}^{4}=A. We solve the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX to find some solutions, based on analysis of the characteristic polynomial of A and its eigenvalues. We divide the problem into small cases so that we can find the solution easily. Finally...

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Bibliographic Details
Main Authors: Zhou Duan-Mei, Vu Hong-Quang
Format: Article
Language:English
Published: De Gruyter 2020-09-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0053/math-2020-0053.xml?format=INT