Geodesic
Maximal Antipodal Subgroups of some Compact Classical Lie Groups
Journal of Lie theory, Tome 27 (2017) no. 3, pp. 801-829
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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 
@article{JLT_2017_27_3_JLT_2017_27_3_a8,
     author = {M. S. Tanaka and H. 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/JLT_2017_27_3_JLT_2017_27_3_a8/}
}
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M. S. Tanaka; H. 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/JLT_2017_27_3_JLT_2017_27_3_a8/