Some simple modules for classical groups and p-ranks of orthogonal and Hermitian geometries

JOURNAL OF ALGEBRA

卷:327

Article

Arslan, Ogul²  Sin, Peter¹ 

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

[2] Coastal Carolina Univ, Dept Math & Stat, Conway, SC 29528 USA

关键词: Classical groups;    Simple modules;    Incidence matrices;    Weyl modules;    Orthogonal geometry;    Hermitian geometry;   

DOI  :  10.1016/j.jalgebra.2010.10.026

来源: Elsevier

【 摘 要 】

We determine the characters of the simple composition factors and the submodule lattices of certain Weyl modules for classical groups. The results have several applications. The simple modules arise in the study of incidence systems in finite geometries and knowledge of their dimensions yields the p-ranks of these incidence systems. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free