Local normal forms for multiplicity free \(U(n)\) actions on coadjoint orbits

DOI10.2140/pjm.2020.309.401zbMath1458.53086arXiv2002.09930OpenAlexW3122136689MaRDI QIDQ2226658

Yanyan Li

Publication date: 9 February 2021

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

Full work available at URL: https://arxiv.org/abs/2002.09930

zbMATH Keywords

integrable systemscoadjoint orbitsmultiplicity free spaceslocal normal formGelfand-Zeitlin

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Compactifications; symmetric and spherical varieties (14M27)

Related Items (1)

Imploded cross-sections

Cites Work

• Unnamed Item
• Gromov width of non-regular coadjoint orbits of \(\mathrm{U}(n)\), \(\mathrm{SO}(2n)\) and \(\mathrm{SO}(2n + 1)\)
• Lagrangian fibers of Gelfand-Cetlin systems
• Multiplicity-free spaces
• The Gelfand-Cetlin system and quantization of the complex flag manifolds
• Convexity properties of the moment mapping. III
• Proof of the Knop conjecture
• On the \(f\)-vectors of Gelfand-Cetlin polytopes
• Singular fibres of the Gelfand–Cetlin system on MANI( n )*
• The U ( n ) Gelfand–Zeitlin system as a tropical limit of Ginzburg–Weinstein diffeomorphisms
• The Geometric Structure of Symplectic Contraction
• Automorphisms of multiplicity free Hamiltonian manifolds

This page was built for publication: Local normal forms for multiplicity free \(U(n)\) actions on coadjoint orbits