Decompositions of some Specht modules I

JOURNAL OF ALGEBRA

卷:550

Article

Donkin, Stephen¹  Geranios, Haralampos¹ 

[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;   

DOI  :  10.1016/j.jalgebra.2019.12.017

来源: Elsevier

【 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.

【 授权许可】

Free