Equivariant quantizations for AHS-structures

DOI10.1016/j.aim.2010.01.016zbMath1193.53034arXiv0904.3278OpenAlexW1995147509WikidataQ57408575 ScholiaQ57408575MaRDI QIDQ977512

Josef Šilhan, Andreas Čap

Publication date: 22 June 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3278

zbMATH Keywords

tractor calculusparabolic geometryequivariant quantizationAHS-structurenatural quantization

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric quantization (53D50) Local Riemannian geometry (53B20) Other connections (53B15) (G)-structures (53C10) Other special differential geometries (53A40)

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Conformally invariant quantization -- towards the complete classification ⋮ 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 ⋮ Higher symmetries of the Laplacian via quantization ⋮ Quantization and injective submodules of differential operator modules ⋮ Conformally equivariant quantization for spinning particles ⋮ Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds

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