THE GENERALIZED YANG-BAXTER MATRIX EQUATION $$ A(XA)^{m}=X(AX)^{m} $$ OVER $$ \textrm{GL}(2,\mathbb {F}) $$
Year: 2025
Type: article
Abstract: Let A be a given $$ 2\times 2 $$ 2 × 2 non-singular matrix over a general field $$ \mathbb {F} $$ F , and let m be an arbitrary positive integer. In this article, we completely solve the generalized Yang-Baxter matrix equation, namely the equation $$ A(XA)^{m}=X(AX)^{m} $$ A ( X A ) m = X ( A X ) m for the unknown non-singular matrix X .
Source: Journal of Mathematical Sciences
Author: Boaz Cohen
Institution: Academic College of Tel Aviv-Yafo
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,490
OpenAlex ID: W4411401729