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LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  10 June 2016

ZOLTÁN KÁDÁR ,
PAUL MARTIN ,
ERIC ROWELL  and
ZHENGHAN WANG
ZOLTÁN KÁDÁR
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom, e-mail: zokadar@gmail.com, P.P.Martin@leeds.ac.uk
PAUL MARTIN
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom, e-mail: zokadar@gmail.com, P.P.Martin@leeds.ac.uk
ERIC ROWELL
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA, e-mail: rowell@math.tamu.edu
ZHENGHAN WANG
Affiliation:
Microsoft Research, Station Q and Department of Mathematics, University of California, Santa Barbara, CA 93106, USA, e-mail: zhenghwa@micros.oft.com, zhenghwa@math.ucsb.edu
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Abstract

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We study representations of the loop braid group LBn from the perspective of extending representations of the braid group $\mathcal{B}$n. We also pursue a generalization of the braid/Hecke/Temperlely–Lieb paradigm – uniform finite dimensional quotient algebras of the loop braid group algebras.

MSC classification

Primary: 20F36: Braid groups; Artin groups
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 2 , May 2017 , pp. 359 - 378
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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