$N$-Dimensional Representations of the Braid Groups $B_{N}$
High Energy Physics - Theory
2008-02-03 v1 Quantum Algebra
Abstract
In this note, a new class of representations of the braid groups is constructed. It is proved that those representations contain three kinds of irreducible representations: the trivial (identity) one, the Burau one, and an -dimensional one. The explicit form of the -dimensional irreducible representation of the braid group is given here.
Cite
@article{arxiv.hep-th/9404111,
title = {$N$-Dimensional Representations of the Braid Groups $B_{N}$},
author = {Dian-Min Tong and Shan-De Yang and Zhong-Qi Ma},
journal= {arXiv preprint arXiv:hep-th/9404111},
year = {2008}
}