On the representation theory of an algebra of braids and ties

被引：16
|
作者：
Ryom-Hansen, Steen [1 ]
机构：
[1] Univ Talca, Inst Matemat & Fis, Talca, Chile
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2011年 / 33卷 / 01期
关键词：
Diagram algebras; Symmetric group; Specht modules; HECKE; ANALOG;
D O I：
10.1007/s10801-010-0233-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the algebra epsilon(n)(u) introduced by Aicardi and Juyumaya as an abstraction of the Yokonuma-Hecke algebra. We construct a tensor space representation for epsilon(n)(u) and show that this is faithful. We use it to give a basis of epsilon(n)(u) and to classify its irreducible representations.
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页码：57 / 79
页数：23
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