Oscillatory integral formulae for left-invariant star products on a class of Lie groups

DOI10.1023/A:1013318508043zbMath0998.53059OpenAlexW137923484MaRDI QIDQ5959732

Marc Massar, Pierre Bieliavsky

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1023/a:1013318508043

zbMATH Keywords

deformation quantizationformal Moyal star productinvariant star productsIwasawa subgroup of \(SU(1,n)\)

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items (9)

Least uncertainty principle in deformation quantization ⋮ Deformation Quantization for Actions of Kählerian Lie Groups ⋮ Convergent star products on cotangent bundles of Lie groups ⋮ Strict deformation quantization of locally convex algebras and modules ⋮ Orderings and non-formal deformation quantization ⋮ Noncommutative field theory on rank one symmetric spaces ⋮ Recent Developments in Deformation Quantization ⋮ The deformation quantizations of the hyperbolic plane ⋮ SYMPLECTIC CONNECTIONS

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