Zoltán Kádár, Paul Martin, Eric C. Rowell, Zhenghan Wang
Abstract
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.
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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.
Key concepts: Braid group, Braid, Braid theory, Loop (graph theory), Mathematics, Quotient, Generalization, Group (periodic table)