Further Solutions of a Yang-Baxter-like Matrix Equation-Reference-Cited by-同舟云学术

Further Solutions of a Yang-Baxter-like Matrix Equation

Published:2013-11 Issue:4 Volume:3 Page:352-362
ISSN:2079-7362
Container-title:East Asian Journal on Applied Mathematics
language:en
Short-container-title:East Asian J. Appl. Math.

Author:

Ding Jiu,Zhang Chenhua,Rhee Noah H.

Abstract

AbstractThe Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions that commute with any given complex square matrix A are found. Our results here are based on the fact that the matrix A can be replaced with its Jordan canonical form. We also discuss the explicit structure of the solutions obtained.

Publisher

Global Science Press

Subject

Applied Mathematics

Reference10 articles.

1. Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

2. Spectral solutions of the Yang–Baxter matrix equation

3. Partition function of the Eight-Vertex lattice model

4. History and Perspectives of Quantum Groups

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