Polar representations of compact groups and convex hulls of their orbits

DOI10.1016/j.difgeo.2010.05.005zbMath1209.57028arXiv0909.0379OpenAlexW2026522612WikidataQ115357071 ScholiaQ115357071MaRDI QIDQ988752

Victor Gichev

Publication date: 18 August 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0379

zbMATH Keywords

Coxeter groupspolar representationsemigroups of sets

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Compact Lie groups of differentiable transformations (57S15) Global submanifolds (53C40)

Related Items (5)

Invariant convex sets in polar representations ⋮ Coadjoint orbitopes ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Convexity properties of gradient maps associated to real reductive representations

Cites Work

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• One-parameter semigroups of subsets of a real linear space
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• On the classification of polar representations
• Low cohomogeneity representations and orbit maximal actions
• Convexity and norm in topological groups
• Polar Coordinates Induced by Actions of Compact Lie Groups
• Invariant Theory
• Geometric groups. I
• Polar representations and symmetric spaces

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