%0 Journal Article %T Local representations of the loop braid group %A Zoltan Kadar %A Paul Martin %A Eric Rowell %A Zhenghan Wang %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1411.3768v2