Branching rules for Hecke algebras of type Dn

Jun Hu

doi:10.1002/mana.200410467

Branching rules for Hecke algebras of type D_n

Jun Hu^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

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(D_n-1) by using the corresponding results for type B Hecke algebras. In particular, we show that any such restrictions are always multiplicity free.

源语言	英语
页（从-至）	93-104
页数	12
期刊	Mathematische Nachrichten
卷	280
期	1-2
DOI	https://doi.org/10.1002/mana.200410467
出版状态	已出版 - 2007

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10.1002/mana.200410467

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abstract = "In this paper we study the branching problems for the Hecke algebra ℋ(Dn) of type Dn. We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible ℋ(Dn)-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.",

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T1 - Branching rules for Hecke algebras of type Dn

AU - Hu, Jun

PY - 2007

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N2 - In this paper we study the branching problems for the Hecke algebra ℋ(Dn) of type Dn. We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible ℋ(Dn)-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.

AB - In this paper we study the branching problems for the Hecke algebra ℋ(Dn) of type Dn. We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible ℋ(Dn)-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.

KW - Bipartitions

KW - Hecke algebras

KW - Specht modules

UR - https://www.scopus.com/pages/publications/33846500631

U2 - 10.1002/mana.200410467

DO - 10.1002/mana.200410467

M3 - Article

AN - SCOPUS:33846500631

SN - 0025-584X

VL - 280

SP - 93

EP - 104

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 1-2

ER -

Branching rules for Hecke algebras of type Dn

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Branching rules for Hecke algebras of type D_n