Maximal abelian subgroups of compact simple Lie groups of type E

被引：0
|
作者：
Jun Yu
机构：
[1] BICMR,
[2] Peking University,undefined
来源：
Geometriae Dedicata | 2016年 / 185卷
关键词：
Symplectic abelian group; Symplectic metric space; Kac coordinate; Steinberg’s theorem; Isolated automorphism; Elementary abelian ; -subgroup; Maximal abelian subgroup; Jordan subgroup; Almost commuting tuple; 20E07; 20E45; 20K27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We classify closed abelian subgroups of the automorphism group of a compact simple Lie algebra of type E whose centralizer has the same dimension as the dimension of the subgroup. These include maximal abelian subgroups and Jordan subgroups. We also describe Weyl groups of these abelian subgroups.
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页码：205 / 269
页数：64
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