# Finite orbit decomposition of real flag manifolds

Bernhard Krötz; Henrik Schlichtkrull

Journal of the European Mathematical Society (2016)

- Volume: 018, Issue: 6, page 1391-1403
- ISSN: 1435-9855

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topKrötz, 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 -

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