Locally Quadratic Modules and Minuscule Representations

被引：2

作者：

Deloro, Adrien ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math Jussieu Paris Rive Gauche, F-75005 Paris, France

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2017年 / 20卷 / 04期

关键词：

Minuscule representations; Quadratic modules; Chevalley groups; Lie rings;

D O I：

10.1007/s10468-017-9671-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new, geometric proof of a theorem by Timmesfeld showing that for simple Chevalley groups, abstract modules where all roots act quadratically are direct sums of minuscule representations. Our proof is uniform, treats finite and infinite fields on an equal footing, and includes Lie rings.

引用

页码：977 / 1005

页数：29

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