Low cohomogeneity and polar actions on exceptional compact Lie groups

被引：0
作者：
Andreas Kollross
机构：
[1] Universität Augsburg,Institut für Mathematik
来源：
Transformation Groups | 2009年 / 14卷
关键词：
Symmetric Space; Closed Subgroup; Polar Action; Isotropy Subgroup; Isometric Action;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study isometric Lie group actions on the compact exceptional groups E6, E7, E8, F4 and G2 endowed with a bi-invariant metric. We classify polar actions on these groups, in particular, we show that all polar actions are hyperpolar. We determine all isometric actions of cohomogeneity less than three on E6, E7, F4 and all isometric actions of cohomogeneity less than 20 on E8. Moreover, we determine the principal isotropy algebras for all isometric actions on G2.
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页码：387 / 415
页数：28
相关论文
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