The double Gelfand-Cetlin system, invariance of polarization, and the Peter-Weyl theorem

DOI10.1016/j.geomphys.2023.105011arXiv2303.18113OpenAlexW4386913828MaRDI QIDQ6141327

Jonathan Weitsman, Peter Crooks

Publication date: 4 January 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.18113

zbMATH Keywords

geometric quantizationPeter-Weyl theoremGelfand-Cetlin system

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantification géométrique.
• The Gelfand-Cetlin system and quantization of the complex flag manifolds
• Geometric quantization and quantum mechanics
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• Integral representations of isotropic semiclassical functions and applications
• On the BKS pairing for Kähler quantizations of the cotangent bundle of a Lie group
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• The quantization of a toric manifold is given by the integer lattice points in the moment polytope
• Locally toric manifolds and singular Bohr-Sommerfeld leaves

This page was built for publication: The double Gelfand-Cetlin system, invariance of polarization, and the Peter-Weyl theorem