Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions.

DOI10.1023/A:1017954812000zbMath1067.53074arXivmath/0103096OpenAlexW3006862806MaRDI QIDQ5953679

Christian Duval, Valentin Ovsienko

Publication date: 27 January 2002

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

Full work available at URL: https://arxiv.org/abs/math/0103096

zbMATH Keywords

hypergeometric functionsquantizationprojective structures

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (15)

Existence of natural and projectively equivariant quantizations ⋮ Explicit formula for the natural and projectively equivariant quantization ⋮ Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\) ⋮ On \(\mathfrak{osp}(p+1,q+1|2r)\)-equivariant quantizations ⋮ Noncommutative Hypergeometric and Basic Hypergeometric Equations ⋮ Existence of Natural and Conformally Invariant Quantizations of Arbitrary Symbols ⋮ Non-uniqueness of the natural and projectively equivariant quantization ⋮ Projectively equivariant quantization for differential operators acting on forms ⋮ A first approximation for quantization of singular spaces ⋮ Equivariant quantization of orbifolds ⋮ Contact Schwarzian Derivatives ⋮ Decomposition of symmetric tensor fields in the presence of a flat contact pro jective structure ⋮ An explicit formula for the natural and conformally invariant quantization ⋮ Natural and projectively equivariant quantizations by means of Cartan connections ⋮ Quantum integrability of quadratic Killing tensors

This page was built for publication: Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions.