The Gelfand-Cetlin system and quantization of the complex flag manifolds

DOI10.1016/0022-1236(83)90092-7zbMath0522.58021OpenAlexW1982917181MaRDI QIDQ1056113

Shlomo Sternberg, Victor W. Guillemin

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90092-7

zbMATH Keywords

Gelfand-Zeitlin system Bohr-Sommerfeld sets Kählerian polarization quantization method of Sniatycki

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50)

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