$N$-Dimensional Representations of the Braid Groups $B_{N}$

Dian-Min Tong; Shan-De Yang; Zhong-Qi Ma

paper

$N$ -Dimensional Representations of the Braid Groups $B_{N}$

arXiv:hep-th/9404111

Abstract

In this note, a new class of representations of the braid groups $B_{N}$ is constructed. It is proved that those representations contain three kinds of irreducible representations: the trivial (identity) one, the Burau one, and an $N$ -dimensional one. The explicit form of the $N$ -dimensional irreducible representation of the braid group $B_{N}$ is given here.

N-Dimensional Representations of the Braid Groups BN​

Abstract

$N$ -Dimensional Representations of the Braid Groups $B_{N}$