Some new decomposable Specht modules

JOURNAL OF ALGEBRA

卷:357

Article

Dodge, Craig J.²  Fayers, Matthew¹ 

[1] Univ London, London E1 4NS, England

[2] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

关键词: Specht module;    Decomposable;    Homomorphism;    Symmetric group;   

DOI  :  10.1016/j.jalgebra.2012.01.035

来源: Elsevier

【 摘 要 】

We present (with proof) a new family of decomposable Specht modules for the symmetric group in characteristic 2. These Specht modules are labelled by partitions of the form (a, 3, 1(b)), and are the first new examples found for thirty years. Our method of proof is to exhibit summands isomorphic to irreducible Specht modules, by constructing explicit homomorphisms between Specht modules. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free