Finite orbit decomposition of real flag manifolds

Bernhard Krötz, Henrik Schlichtkrull

6 Citations (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.

Original languageEnglish
JournalJournal of the European Mathematical Society
Volume18
Issue number6
Pages (from-to)1391-1403
ISSN1435-9855
DOIs
Publication statusPublished - 2016

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