Complete branching rules for Specht modules

被引：1
|
作者：
Liu, Ricky Ini [1 ]
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
JOURNAL OF ALGEBRA | 2016年 / 446卷
关键词：
Symmetric group; Specht modules; Branching rule; TABLEAUX; SERIES;
D O I：
10.1016/j.jalgebra.2015.09.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a combinatorial description for when the Specht module of an arbitrary diagram admits a (complete) branching rule. This description, given in terms of the maximal rectangles of the diagram, generalizes all previously known branching rules for Specht modules, such as those given by Reiner and Shimozono for northwest diagrams and by the present author for forest diagrams. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：77 / 102
页数：26
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