Geodesic
Finite orbit decomposition of real flag manifolds
Journal of the European Mathematical Society, Tome 18 (2016) no. 6, pp. 1391-1403

Voir la notice de l'article provenant de la source EMS Press

Let G be a connected real semi-simple Lie group and H a closed connected subgroup. Let P be a minimal parabolic subgroup of G. It is shown that H has an open orbit on the flag manifold G/P if and only if it has finitely many orbits on G/P. This confirms a conjecture by T. Matsuki.
DOI : 10.4171/jems/617
Classification : 22-XX, 14-XX
Keywords: Flag manifold, orbit decomposition, spherical subgroup 
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     title = {Finite orbit decomposition of real flag manifolds},
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Bernhard Krötz; Henrik Schlichtkrull. Finite orbit decomposition of real flag manifolds. Journal of the European Mathematical Society, Tome 18 (2016) no. 6, pp. 1391-1403. doi: 10.4171/jems/617

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