English

Local representations of the loop braid group

Quantum Algebra 2014-12-16 v2 Rings and Algebras Representation Theory

Abstract

We study representations of the loop braid group LBnLB_n from the perspective of extending representations of the braid group BnB_n. We also pursue a generalization of the braid/Hecke/Temperlely-Lieb paradigm---uniform finite dimensional quotient algebras of the loop braid group algebras.

Keywords

Cite

@article{arxiv.1411.3768,
  title  = {Local representations of the loop braid group},
  author = {Zoltan Kadar and Paul Martin and Eric Rowell and Zhenghan Wang},
  journal= {arXiv preprint arXiv:1411.3768},
  year   = {2014}
}

Comments

22 pages, 1 figure. Revised introduction and title. Add a reference and fix minor typos

R2 v1 2026-06-22T06:58:32.526Z