Finite orbit decomposition of real flag manifolds
Bernhard Krötz
Universität Paderborn, GermanyHenrik Schlichtkrull
University of Copenhagen, Denmark
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Abstract
Let be a connected real semi-simple Lie group and a closed connected subgroup. Let be a minimal parabolic subgroup of . It is shown that has an open orbit on the flag manifold if and only if it has finitely many orbits on . This confirms a conjecture by T. Matsuki.
Cite this article
Bernhard Krötz, Henrik Schlichtkrull, Finite orbit decomposition of real flag manifolds. J. Eur. Math. Soc. 18 (2016), no. 6, pp. 1391–1403
DOI 10.4171/JEMS/617