Geodesic
Maximal Antipodal Subgroups of some Compact Classical Lie Groups
Makiko Sumi Tanaka1 ; Hiroyuki Tasaki2
1Dept. of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan
2Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Journal of Lie Theory, Tome 27 (2017) no. 3, pp. 801-829

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E40, 53C35
Mots-clés : Antipodal subgroup, compact Lie group, polar

Makiko Sumi Tanaka  1   ; Hiroyuki Tasaki  2

1 Dept. of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan
2 Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan 
Makiko Sumi Tanaka; Hiroyuki Tasaki. Maximal Antipodal Subgroups of some Compact Classical Lie Groups. Journal of Lie Theory, Tome 27 (2017) no. 3, pp. 801-829. http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a8/
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     author = {Makiko Sumi Tanaka and Hiroyuki Tasaki},
     title = {Maximal {Antipodal} {Subgroups} of some {Compact} {Classical} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {801--829},
     year = {2017},
     volume = {27},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a8/}
}
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