We study representations of the loop braid group $LB_n$ from the perspective of extending representations of the braid group $B_n$. We also pursue a generalization of the braid/Hecke/Temperlely-Lieb paradigm---uniform finite dimensional quotient algebras of the loop braid group algebras.
- Pub Date:
- November 2014
- Mathematics - Quantum Algebra;
- Mathematics - Rings and Algebras;
- Mathematics - Representation Theory
- 22 pages, 1 figure. Revised introduction and title. Add a reference and fix minor typos