Geodesic
On Semisimple Standard Compact Clifford-Klein Forms
Maciej Bochenski1
1Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, Poland
Journal of Lie Theory, Tome 32 (2022) no. 3, pp. 813-819

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

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

Maciej Bochenski  1

1 Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, Poland 
Maciej 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/JOLT_2022_32_3_a9/
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     title = {On {Semisimple} {Standard} {Compact} {Clifford-Klein} {Forms}},
     journal = {Journal of Lie Theory},
     pages = {813--819},
     year = {2022},
     volume = {32},
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     url = {http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a9/}
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