Maximal Antipodal Subgroups of some Compact Classical Lie Groups

被引：0

作者：

Tanaka, Makiko Sumi ^{[1
]}

Tasaki, Hiroyuki ^{[2
]}

机构：

[1] Tokyo Univ Sci, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan

[2] Univ Tsukuba, Div Math, Fac Pure & Appl Sci, Tsukuba, Ibaraki 3058571, Japan

来源：

JOURNAL OF LIE THEORY | 2017年 / 27卷 / 03期

关键词：

Antipodal subgroup; compact Lie group; polar;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify maximal antipodal subgroups of the quotient groups of the compact classical Lie groups and explicitly describe them by using the dihedral group of order 8. The maximal antipodal subgroups are not unique up to conjugation in almost all cases.

引用

页码：801 / 829

页数：29

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