Invariant convex sets in polar representations
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Publication:314410
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
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
Cites Work
- Unnamed Item
- Polar orbitopes
- A remark on the gradient map
- Coadjoint orbitopes
- Cartan decomposition of the moment map
- Semistable points with respect to real forms
- Polar representations of compact groups and convex hulls of their orbits
- Convexity properties of the moment mapping
- Kählerian potentials and convexity properties of the moment map
- Convexity properties of gradient maps
- Polar Coordinates Induced by Actions of Compact Lie Groups
- Convexity and Commuting Hamiltonians
- On convexity, the Weyl group and the Iwasawa decomposition
- Satake-Furstenberg compactifications, the moment map and λ<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub>
- Stratifications with respect to actions of real reductive groups
- Lie groups beyond an introduction
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