Invariant measures on polarized submanifolds in group quantization

DOI10.1063/1.1288497zbMath1042.22008arXivmath-ph/0003024OpenAlexW3103992601MaRDI QIDQ2738212

Victor Aldaya, Julio Guerrero

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0003024

zbMATH Keywords

invariant measuregeometric quantizationcentral extension

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Semisimple Lie groups and their representations (22E46) Geometric quantization (53D50)

Related Items (9)

SYMMETRIES OF NON-LINEAR SYSTEMS: GROUP APPROACH TO THEIR QUANTIZATION ⋮ $SU(2)$ -particle sigma model: momentum-space quantization of a particle on the sphere S ³ ⋮ Wavelet transform on the circle and the real line: a unified group-theoretical treatment ⋮ Group-cohomology refinement to classify G-symplectic manifolds ⋮ Quantum Integrability of the Dynamics on a Group Manifold ⋮ On the geometry of the phase spaces of some \(\text{SO}(2, 1)\) invariant systems ⋮ Sampling theorem and discrete Fourier transform on the hyperboloid ⋮ Extended MacMahon-Schwinger's master theorem and conformal wavelets in complex Minkowski space ⋮ Lie group representations and quantization

Cites Work

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• Higher-Order Differential Operators on a Lie Group and Quantization
• Introduction to Lie Algebras and Representation Theory

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