Finite orbit decomposition of real flag manifolds

DOI10.4171/JEMS/617zbMath1342.22036arXiv1307.2375MaRDI QIDQ294205

Henrik Schlichtkrull, Bernhard Krötz

Publication date: 9 June 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2375

zbMATH Keywords

orbit decompositionreal flag manifoldspherical subgroup

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Homogeneous spaces (22F30) Semisimple Lie groups and their representations (22E46)

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Cites Work

• Complexity of action of reductive groups
• Quelques propriétés des espaces homogènes sphériques. (Some properties of spherical homogeneous spaces)
• Finiteness of orbit structure for real flag manifolds
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• On the set of orbits for a Borel subgroup
• Decomposition theorems for triple spaces
• Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
• On subgroups of the noncompact real exceptional Lie group \(F_4^*\)
• Les espaces symétriques noncompacts
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