On representations of star product algebras over cotangent spaces on Hermitian line bundles.

DOI10.1016/S0022-1236(02)00110-6zbMath1038.53087arXivmath/9811055MaRDI QIDQ1874684

Markus J. Pflaum, Stefan Waldmann, Nikolai Alexander Neumaier, Martin Bordemann

Publication date: 25 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/9811055

zbMATH Keywords

star productsrepresentation theoryglobal symbol calculus

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (10)

Deformation and Hochschild cohomology of coisotropic algebras ⋮ Pseudodifferential Weyl calculus on (Pseudo-)Riemannian manifolds ⋮ Convergent star products on cotangent bundles of Lie groups ⋮ STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION ⋮ The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮ Convergence of the Wick star product ⋮ Magnetic pseudodifferential operators ⋮ Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. ⋮ The Picard groupoid in deformation quantization ⋮ Classification of polarized deformation quantizations

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