Irreducible A1 subgroups of exceptional algebraic groups

被引：8

作者：

Thomas, Adam R.

机构：

来源：

JOURNAL OF ALGEBRA | 2016年 / 447卷

基金：

英国工程与自然科学研究理事会;

关键词：

Algebraic groups; Subgroups structure; Complete reducibility; G-irreduciblitly; A(1) subgroups; ELEMENTS; MODULES; FINITE;

D O I：

10.1016/j.jalgebra.2015.08.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A closed subgroup of a semisimple algebraic group is called irreducible if it lies in no proper parabolic subgroup. In this paper we classify all irreducible A(1) subgroups of exceptional algebraic groups G. Consequences are given concerning the representations of such subgroups on various G-modules: for example, the conjugacy classes of irreducible A(1) subgroups are determined by their composition factors on the adjoint module of G. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：240 / 296

页数：57

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