Algebraic Structures Behind the Yang-Baxterization Process

Cansu Özdemir; Ilmar Gahramanov

paper

Algebraic Structures Behind the Yang-Baxterization Process

arXiv:2305.03011

Abstract

We review the Yang-Baxterization process of braid group representations. We discuss the corresponding $n$ -CB algebras in the Yang-Baxterization process. We present diagrams of the relations for the $4$ -CB algebras. These relations are illustrated using the isomorphism between the general free algebra generated by ${1}$ , ${E_{i}}$ , and ${G_{i}}$ and Kauffman's tangle algebra.

27 pages