Specht modules in the Auslander-Reiten quiver

JOURNAL OF ALGEBRA

卷:397

Article

Danz, Susanne¹  Erdmann, Karin² 

[1] Univ Kaiserslautern, Dept Math, D-67653 Kaiserslautern, Germany

[2] Univ Oxford, Math Inst, Roq Oxford OX2 6GG, England

关键词: Auslander-Reiten quiver;    Quasi-length;    Specht module;    Symmetric group;   

DOI  :  10.1016/j.jalgebra.2013.08.019

来源: Elsevier

【 摘 要 】

Let A be a symmetric algebra over an algebraically closed field. We study the position of indecomposable A-modules with small socles or heads in Auslander-Reiten components of tree class A(infinity). We apply the results to Specht modules when A is a block of a group algebra of a symmetric group. In particular, we show that if the block has weight 2 then all Specht modules are quasi-simple, that is, they lie 'at the ends' of their components. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free