Some reducible Specht modules for Iwahori-Hecke algebras of type A with q =-1

被引：3

作者：

Fayers, Matthew ^{[1
]}

Lyle, Sinead ^{[2
]}

机构：

[1] Univ London, Sch Math Sci, London E1 4NS, England

[2] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

来源：

JOURNAL OF ALGEBRA | 2009年 / 321卷 / 03期

关键词：

Specht modules; Iwahori-Hecke algebras; Q-ANALOGS; REPRESENTATIONS; THEOREM; ROOTS; UNITY;

D O I：

10.1016/j.jalgebra.2008.11.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The reducibility of the Specht modules for the Iwahori-Hecke algebras in type A is still open in the case where the defining parameter q equals -1. We prove the reducibility of a large class of Specht modules for these algebras. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：912 / 933

页数：22

共 21 条

[1]

[Anonymous], 2003, Groups, combinatorics & geometry, DOI DOI 10.1142/9789812564481

[2] On the decomposition numbers of the Hecke algebra of G(m,1,n) [J].