LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP

被引：16

作者：

Kadar, Zoltan ^{[1
]}

Martin, Paul ^{[1
]}

Rowell, Eric ^{[2
]}

Wang, Zhenghan ^{[3
,4
]}

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Univ Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA

[4] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

GLASGOW MATHEMATICAL JOURNAL | 2017年 / 59卷 / 02期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

CONJUGATING AUTOMORPHISMS; VIRTUAL BRAIDS;

D O I：

10.1017/S0017089516000215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study representations of the loop braid group LBn 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.

引用

页码：359 / 378

页数：20

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