Finite orbit decomposition of real flag manifolds

Bernhard Krötz; Henrik Schlichtkrull

doi:10.4171/JEMS/617

Finite orbit decomposition of real flag manifolds

Bernhard Krötz, Henrik Schlichtkrull

Institut for Matematiske Fag

6 Citationer (Scopus)

Abstract

Let G be a connected real semisimple 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.

Originalsprog	Engelsk
Tidsskrift	Journal of the European Mathematical Society
Vol/bind	18
Udgave nummer	6
Sider (fra-til)	1391-1403
ISSN	1435-9855
DOI	https://doi.org/10.4171/JEMS/617
Status	Udgivet - 2016

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10.4171/JEMS/617

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abstract = "Let G be a connected real semisimple 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.",

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AU - Krötz, Bernhard

AU - Schlichtkrull, Henrik

PY - 2016

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AB - Let G be a connected real semisimple 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.

U2 - 10.4171/JEMS/617

DO - 10.4171/JEMS/617

M3 - Journal article

SN - 1435-9855

VL - 18

SP - 1391

EP - 1403

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 6

ER -

Finite orbit decomposition of real flag manifolds

Abstract

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