Homomorphisms from an arbitrary Specht module to one corresponding to a hook

JOURNAL OF ALGEBRA

卷:485

Article

Loubert, Joseph W.¹ 

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

关键词: Representation theory;    Symmetric groups;    Hecke algebras;    Specht modules;    KLR algebras;   

DOI  :  10.1016/j.jalgebra.2016.12.022

来源: Elsevier

【 摘 要 】

We use the presentation of the Specht modules given by Kleshchev-Mathas-Ram to derive results about Specht modules. In particular, we determine all homomorphisms from an arbitrary Specht module to a fixed Specht module corresponding to any hook partition. Along the way, we give a complete description of the action of the standard KLR generators on the hook Specht module. This work generalizes a result of James. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free