Decompositions of some Specht modules I

被引:4
|
作者
Donkin, Stephen [1 ]
Geranios, Haralampos [1 ]
机构
[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
关键词
Polynomial representations; General linear groups; Symmetric groups; Hecke algebras; Decomposable Specht modules;
D O I
10.1016/j.jalgebra.2019.12.017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a decomposition, as a direct sum of indecomposable modules, of several types of Specht modules in characteristic 2. These include the Specht modules labelled by hooks, whose decomposability was considered by Murphy, [15]. Since the main arguments are essentially no more difficult for Hecke algebras at parameter q = -1, we proceed in this generality. Crown Copyright (C) 2020 Published by Elsevier Inc. All rights reserved.
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页码:1 / 22
页数:22
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