Invariant convex sets in polar representations

DOI10.1007/s11856-016-1325-6zbMath1351.52002arXiv1411.6041OpenAlexW2228773744MaRDI QIDQ314410

Leonardo Biliotti, Peter Heinzner, Alessandro Ghigi

Publication date: 16 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6041

zbMATH Keywords

faceconvex hullpolar representationexposed faceinvariant convex bodyrestricted momentum map

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Momentum maps; symplectic reduction (53D20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

On Ricci negative derivations ⋮ On Ricci Negative Lie Groups ⋮ Convexity theorems for the gradient map on probability measures ⋮ Stability with respect to actions of real reductive Lie groups ⋮ Dominant weight associated with actions of real reductive groups ⋮ Stability of measures on Kähler manifolds ⋮ Remarks on the abelian convexity theorem ⋮ The Kempf-Ness theorem and invariant theory for real reductive representations ⋮ Convexity properties of gradient maps associated to real reductive representations ⋮ Meromorphic limits of automorphisms

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