The Complex Orthogonal Gelfand–Zeitlin System

DOI10.1093/imrn/rnz314zbMath1490.37082arXiv1808.04424OpenAlexW2997269036WikidataQ126841776 ScholiaQ126841776MaRDI QIDQ5006206

Mark Colarusso, Sam Evens

Publication date: 13 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04424

zbMATH Keywords

integrable systemsquantizationmoment maporthogonal Kostant-Wallach map

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric quantization (53D50) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

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