Classical intertwiner space and quantization

DOI10.1007/BF02101487zbMath0840.58021OpenAlexW2082441903MaRDI QIDQ1908824

Ping Xu

Publication date: 7 March 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02101487

zbMATH Keywords

Lie algebroidspolarizationssymplectic manifoldclassical intertwiner spacesymplectic algebroids

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (3)

Groupoid equivariant prequantization ⋮ On the geometric quantization of the symplectic leaves of Poisson manifolds ⋮ On the relation between gauge and phase symmetries

Cites Work

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• Algebraic constructions in the category of Lie algebroids
• Moments and reduction for symplectic groupoids
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Geometric quantization and quantum mechanics
• Geometric quantization and multiplicities of group representations
• Quantum deformations of the Heisenberg group obtained by geometric quantization
• Morita equivalence of Poisson manifolds
• Classical solutions of the quantum Yang-Baxter equation
• Reduction of symplectic manifolds with symmetry
• Lie bialgebroids and Poisson groupoids
• Rieffel induction as generalized quantum Marsden-Weinstein reduction
• Poisson cohomology and quantization.
• Lie-Poisson Structure on Some Poisson Lie Groups
• Symplectic groupoids and Poisson manifolds
• Dressing transformations and Poisson group actions

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