The representation type of Hecke algebras of type B

被引：13
作者：
Ariki, S
Mathas, A
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
[2] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
ADVANCES IN MATHEMATICS | 2004年 / 181卷 / 01期
关键词：
Hecke algebras; representation type;
D O I：
10.1016/S0001-8708(03)00047-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper determines the representation type of the Iwahori-Hecke algebras of type B when q not equal +/-1. In particular, we show that a single parameter non-semisimple Iwahori-Hecke algebra of type B has finite representation type if and only if q is a simple root of the Poincare polynomial, confirming a conjecture of Uno's (J. Algebra 149 (1992) 287). (C) 2003 Elsevier Science (USA). All rights reserved.
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收藏
页码：134 / 159
页数：26
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