English

Irreducible representations of the braid group $B_3$ in dimension 6

Group Theory 2023-04-06 v1

Abstract

We use qq-Pascal's triangle to define a family of representations of dimension 6 of the braid group B3B_3 on three strings. Then we give a necessary and sufficient condition for these representations to be irreducible.

Keywords

Cite

@article{arxiv.2304.02304,
  title  = {Irreducible representations of the braid group $B_3$ in dimension 6},
  author = {Taher I. Mayassi and Mohammad N. Abdulrahim},
  journal= {arXiv preprint arXiv:2304.02304},
  year   = {2023}
}