Homogeneous compact geometries

DOI10.1007/s00031-014-9278-5zbMath1309.51003arXiv1205.2342OpenAlexW2100583063MaRDI QIDQ404610

Linus K. H. Kramer, Alexander Lytchak

Publication date: 4 September 2014

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2342

zbMATH Keywords

Lie groupbuildingpolar actionresidually connected geometry

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Related Items (6)

Hyperpolar actions on reducible symmetric spaces ⋮ Polar actions on complex hyperbolic spaces ⋮ Polar foliations of symmetric spaces ⋮ Erratum to: ``Homogeneous compact geometries ⋮ From isoparametric submanifolds to polar foliations ⋮ On two nonbuilding but simply connected compact Tits geometries of type \(C_3\)

Cites Work

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• Polar foliations of symmetric spaces
• The topology of a semisimple Lie group is essentially unique
• Affine buildings for dihedral groups
• The topology of Lie groups as an algebraic phenomenon. I.
• Loop groups and twin buildings
• Homomorphismes abstraits de groupes algébriques simples
• Finite geometries of type \(C_ 3\) with flag-transitive groups
• Isoparametric foliations and their buildings
• Quillen's theorem on buildings and the loops on a symmetric space
• Oktaven, Ausnahmegruppen und Oktavengeometrie
• On topological Tits buildings and their classification
• Buildings of spherical type and finite BN-pairs
• Homogene kompakte projektive Ebenen
• Clifford systems, algebraically constant second fundamental form and isoparametric hypersurfaces
• Zur Begründung der projektiven Geometrie
• Flag-homogeneous compact connected polygons. II
• Polar actions on rank-one symmetric spaces.
• Tits geometry and positive curvature
• Compact totally disconnected Moufang buildings.
• On the classification of polar representations
• Some sporadic geometries related to PG(3,2)
• Flag-homogeneous compact connected polygons
• Projective planes and isoparametric hypersurfaces
• Compact projective planes. With an introduction to octonion geometry
• The flag-transitive \(C_ 3\)-geometries of finite order
• Polar actions on symmetric spaces
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• Minimal submanifolds of low cohomogeneity
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• Isoparametric foliations on complex projective spaces
• Structure and Geometry of Lie Groups
• The Nonexistence of Certain Topological Polygons
• Polar Coordinates Induced by Actions of Compact Lie Groups
• Polar representations and symmetric spaces
• Two-transitive Lie groups
• Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces
• Compact connected Lie transformation groups on spheres with low cohomogeneity. I
• Polar actions on symmetric spaces of higher rank
• The structure of compact groups. A primer for the student -- a handbook for the expert
• Holomorphic polygons

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