Generating semisimple groups by tori

被引：6

作者：

Abels, H. ^{[1
]}

Vinberg, E. B. ^{[2
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Moscow MV Lomonosov State Univ, Dept Mech & Math, Chair Algebra, Moscow 119899, Russia

来源：

JOURNAL OF ALGEBRA | 2011年 / 328卷 / 01期

关键词：

Semisimple Lie groups; Compact tori; One-parameter semigroups; Elliptic elements; 1.5-Generatedness;

D O I：

10.1016/j.jalgebra.2010.04.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simple real Lie group with finite center. We prove that given a non-central element g in G there is an elliptic element h in G such that h and ghg(-1) generate a dense subsemigroup of G. (C) 2010 Published by Elsevier Inc.

引用

页码：114 / 121

页数：8

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