On homomorphisms involving ahook Weyl module

JOURNAL OF ALGEBRA

卷:585

Article

Maliakas, Mihalis¹  Stergiopoulou, Dimitra-Dionysia¹ 

[1] Univ Athens, Dept Math, Athens, Greece

关键词: Weyl module;    Homomorphisms;    General linear group;    Hook;   

DOI  :  10.1016/j.jalgebra.2021.05.016

来源: Elsevier

【 摘 要 】

For an infinite field k of positive characteristic, we determine all homomorphisms between Weyl modules for GL(n)(k), where one of the partitions is a hook. As a consequence we obtain a non-vanishing result concerning homomorphisms between Weyl modules for algebraic groups of type B, C and Dwhen one of the partitions is a hook. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free