Date of Award
Spring 5-2017
Degree Type
Honors College Thesis
Department
Mathematics
First Advisor
Jiu Ding
Advisor Department
Mathematics
Abstract
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, ������=������, where X is an unknown ������ matrix, and ��=[0����0] or [0−��−��0], by using the Jordan canonical form to find infinitely many solutions.
Copyright
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Recommended Citation
Jennings, Mallory O., "Solving the Yang-Baxter Matrix Equation" (2017). Honors Theses. 511.
https://aquila.usm.edu/honors_theses/511