Local representations of the loop braid group

preprint2014arXivOpen access

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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Local representations of the loop braid group

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