Branching rules for Hecke algebras of type Dn

被引:6
作者
Hu, Jun [1 ]
机构
[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
[2] Kyoto Univ, Math Sci Res Inst, Kyoto, Japan
关键词
Hecke algebras; bipartitions; Specht modules;
D O I
10.1002/mana.200410467
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study the branching problems for the Hecke algebra H(D-n) of type D-n. We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible H(D-n)-representation to H(Dn-1) by using the corresponding results for type B Hecke algebras. In particular, we show that any such restrictions are always multiplicity free. (C) 2007 Wiley-Vch Verlag GmbH & Co. KGaA, Weinheim.
引用
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页码:93 / 104
页数:12
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