On simple modules of Hecke algebras of type Dn

被引：0
|
作者：
Jun Hu
Jianpan Wang
机构：
[1] Beijing Institute of Technology,Department of Applied Mathematics
[2] East China Normal University,Department of Mathematics
来源：
Science in China Series A: Mathematics | 2001年 / 44卷
关键词：
Hecke algebras; Specht modules; Bipartitions;
D O I：
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学科分类号：
摘要：
This is a continuation of our previous work. We classify all the simple ℋq(Dn)-modules via an automorphismh defined on the set { λ | Dλ ≠ 0}. Whenfn(q) ≠ 0, this yields a classification of all the simple ℋq(Dn)- modules for arbitrary n. In general ( i. e., q arbitrary), if λ(1) = λ(2),wegivea necessary and sufficient condition ( in terms of some polynomials ) to ensure that the irreducible ℋq,1(Bn)- module Dλ remains irreducible on restriction to ℋq(Dn).
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页码：953 / 960
页数：7
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