FINITE LINEAR QUOTIENTS OF B3 OF LOW DIMENSION

被引：5
|
作者：
Rowell, Eric C. [1 ]
Tuba, Imre [2 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] San Diego State Univ, Calexico, CA 92231 USA
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2010年 / 19卷 / 05期
关键词：
Braid group; finite linear group; ribbon category; HECKE ALGEBRAS; QUANTUM GROUPS; BRAID-GROUPS; REPRESENTATIONS; CATEGORIES;
D O I：
10.1142/S0218216510008005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the problem of deciding whether or not the image of an irreducible representation of the braid group B-3 of degree <= 5 has finite image if we are only given the eigenvalues of a generator. We provide a partial algorithm that determines when the images are finite or infinite in all but finitely many cases, and use these results to study examples coming from quantum groups. Our technique uses two classification theorems and the computational group theory package GAP.
引用
收藏
页码：587 / 600
页数：14
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