Finite orbit decomposition of real flag manifolds

Krötz, Bernhard, and Schlichtkrull, Henrik. "Finite orbit decomposition of real flag manifolds." Journal of the European Mathematical Society 018.6 (2016): 1391-1403. <http://eudml.org/doc/277403>.

@article{Krötz2016,
abstract = {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.},
author = {Krötz, Bernhard, Schlichtkrull, Henrik},
journal = {Journal of the European Mathematical Society},
keywords = {flag manifold; orbit decomposition; spherical subgroup; flag manifold; orbit decomposition; spherical subgroup},
language = {eng},
number = {6},
pages = {1391-1403},
publisher = {European Mathematical Society Publishing House},
title = {Finite orbit decomposition of real flag manifolds},
url = {http://eudml.org/doc/277403},
volume = {018},
year = {2016},
}

TY - JOUR
AU - Krötz, Bernhard
AU - Schlichtkrull, Henrik
TI - Finite orbit decomposition of real flag manifolds
JO - Journal of the European Mathematical Society
PY - 2016
PB - European Mathematical Society Publishing House
VL - 018
IS - 6
SP - 1391
EP - 1403
AB - 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.
LA - eng
KW - flag manifold; orbit decomposition; spherical subgroup; flag manifold; orbit decomposition; spherical subgroup
UR - http://eudml.org/doc/277403
ER -