Algebraic Structures Behind the Yang-Baxterization Process
Mathematical Physics
2023-05-05 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review the Yang-Baxterization process of braid group representations. We discuss the corresponding -CB algebras in the Yang-Baxterization process. We present diagrams of the relations for the -CB algebras. These relations are illustrated using the isomorphism between the general free algebra generated by , , and and Kauffman's tangle algebra.
Keywords
Cite
@article{arxiv.2305.03011,
title = {Algebraic Structures Behind the Yang-Baxterization Process},
author = {Cansu Özdemir and Ilmar Gahramanov},
journal= {arXiv preprint arXiv:2305.03011},
year = {2023}
}
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27 pages