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On Semisimple Standard Compact Clifford-Klein Forms
Journal of Lie theory, Tome 32 (2022) no. 3, pp. 813-819
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We give the classification of standard compact Clifford-Klein forms corresponding to triples (g, h, l) such that g = h + l and g is a sum of two absolutely simple ideals. The classification is done using Onishchik's results concerning semisimple decompositions of semisimple Lie algebras. Using this classification we obtain new examples of reductive homogeneous spaces admitting non-standard compact Clifford-Klein forms.
Classification : 57S30, 17B20, 22F30
Mots-clés : Homogeneous spaces, proper actions, discrete subgroups, Clifford-Klein forms 
@article{JLT_2022_32_3_JLT_2022_32_3_a9,
     author = {M. Bochenski},
     title = {On {Semisimple} {Standard} {Compact} {Clifford-Klein} {Forms}},
     journal = {Journal of Lie theory},
     pages = {813--819},
     year = {2022},
     volume = {32},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_3_JLT_2022_32_3_a9/}
}
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M. Bochenski. On Semisimple Standard Compact Clifford-Klein Forms. Journal of Lie theory, Tome 32 (2022) no. 3, pp. 813-819. http://geodesic.mathdoc.fr/item/JLT_2022_32_3_JLT_2022_32_3_a9/