Abstract Young representations for Coxeter groups of type D

被引：0

作者：

Cherniavsky, Yona ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math & Stat, IL-52900 Ramat Gan, Israel

来源：

ADVANCES IN APPLIED MATHEMATICS | 2008年 / 41卷 / 04期

基金：

以色列科学基金会;

关键词：

Abstract Young representations; Type-D Coxeter group; Young orthogonal form;

D O I：

10.1016/j.aam.2007.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Young (briefly: AY) representations are Coxeter group representations which carry an extended Young form. These representations appear in a new axiomatic approach to the representation theory of Coxeter groups. While AY representations for Coxeter groups of types A and B are well understood, little is known about type D. We introduce D-Young tableaux and study minimal AY representations associated with them. The main result is a decomposition rule for the AY representations which are induced from S, into D-n. The proof of this rule involves a combinatorial bijection together with theorems from complex analysis. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：561 / 583

页数：23

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