Date of Award
Honors College Thesis
Jiu Ding, Ph. D.
The Yang-Baxter equation is one that has been widely used and studied in areas such as statistical mechanics, braid groups, knot theory, and quantum mechanics. While many sets of solutions have been found for this equation, it is still an open problem. In this project, I solve the Yang-Baxter matrix equation that is similar in format to the Yang-Baxter equation. I try to solve the corresponding Yang-Baxter matrix equation, 𝐴𝑋𝐴=𝑋𝐴𝑋, where X is an unknown 𝑛𝑥𝑛 matrix, and 𝐴=[0𝐼𝐼0] or [0−𝐼−𝐼0], by using the Jordan canonical form to find infinitely many solutions.
Copyright for this thesis is owned by the author. It may be freely accessed by all users. However, any reuse or reproduction not covered by the exceptions of the Fair Use or Educational Use clauses of U.S. Copyright Law or without permission of the copyright holder may be a violation of federal law. Contact the administrator if you have additional questions.
Jennings, Mallory O., "Solving the Yang-Baxter Matrix Equation" (2017). Honors Theses. 511.