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

共 50 条

[41] Maximal Parabolic Subgroups in Classical Groups are of Modality Zero
Gerhard RÖhrle
Geometriae Dedicata, 1997, 66 : 51 - 64
[42] ON THE MAXIMAL-SUBGROUPS OF THE FINITE CLASSICAL-GROUPS
ASCHBACHER, M
INVENTIONES MATHEMATICAE, 1984, 76 (03) : 469 - 514
[43] ARITHMETIC SUBGROUPS OF SOME CLASSICAL GROUPS
ALLEN, ND
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1967, 39 (01): : 15 - &
[44] The Carter subgroups of some classical groups
Previtali, A
Tamburini, MC
Vdovin, EP
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 : 145 - 155
[45] Maximal subgroups of large rank in exceptional groups of Lie type
Liebeck, MW
Seitz, GM
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2005, 71 : 345 - 361
[46] On the Conjugacy of Maximal Unipotent Subgroups of Real Semisimple Lie Groups
Azad, Hassan
Biswas, Indranil
JOURNAL OF LIE THEORY, 2012, 22 (03) : 883 - 886
[47] Maximal operators associated to discrete subgroups of nilpotent Lie groups
Akos Magyar
Elias M. Stein
Stephen Wainger
Journal d'Analyse Mathématique, 2007, 101 : 257 - 312
[48] Maximal operators associated to discrete subgroups of nilpotent lie groups
Magyar, Akos
Stein, Elias M.
Wainger, Stephen
JOURNAL D ANALYSE MATHEMATIQUE, 2007, 101 (1): : 257 - 312
[49] Volume invariant and maximal representations of discrete subgroups of Lie groups
Kim, Sungwoon
Kim, Inkang
MATHEMATISCHE ZEITSCHRIFT, 2014, 276 (3-4) : 1189 - 1213
[50] SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL GROUPS OF LIE TYPE
LIEBECK, MW
SAXL, J
SEITZ, GM
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1992, 65 : 297 - 325

← 1 2 3 4 5 →