Existence of Natural and Conformally Invariant Quantizations of Arbitrary Symbols
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Publication:2996760
DOI10.1142/S1402925110001057zbMath1213.53107arXiv0811.3710OpenAlexW2007515349MaRDI QIDQ2996760
Fabian Radoux, Pierre Mathonet
Publication date: 3 May 2011
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.3710
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Geometric quantization (53D50) Other connections (53B15)
Related Items (6)
Tidal Tensors in the Description of Gravity and Electromagnetism ⋮ Modules of bilinear differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\) ⋮ Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\) ⋮ On \(\mathfrak{osp}(p+1,q+1|2r)\)-equivariant quantizations ⋮ Equivariant quantizations for AHS-structures ⋮ An explicit formula for the natural and conformally invariant quantization
Cites Work
- Projectively equivariant quantization for differential operators acting on forms
- Equivariant symbol calculus for differential operators acting on forms
- Projectively equivariant quantization map.
- Conformally equivariant quantization: existence and uniqueness
- Projectively equivariant symbol calculus
- Existence of natural and projectively equivariant quantizations
- Non-uniqueness of the natural and projectively equivariant quantization
- IFFT-equivariant quantizations
- Natural and projectively equivariant quantizations by means of Cartan connections
- Formula for the projectively invariant quantization on degree three
- On natural and conformally equivariant quantizations
- Cartan connections and natural and projectively equivariant quantizations
- Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions.
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