Projectively equivariant quantization for differential operators acting on forms

DOI10.1007/s11005-004-4293-4zbMath1067.53072OpenAlexW2019343480MaRDI QIDQ703017

Sarah Hansoul

Publication date: 19 January 2005

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

Full work available at URL: https://doi.org/10.1007/s11005-004-4293-4

zbMATH Keywords

equivariant quantizationquantization mapsdifferential manifoldsdifferential operators.

Mathematics Subject Classification ID

Geometric quantization (53D50) Connections (general theory) (53C05) Linear and affine connections (53B05)

Related Items (7)

Existence of natural and projectively equivariant quantizations ⋮ Modules of bilinear differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\) ⋮ The space of \(m\)-ary differential operators as a module over the Lie algebra of vector fields ⋮ Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\) ⋮ On \(\mathfrak{osp}(p+1,q+1|2r)\)-equivariant quantizations ⋮ Existence of Natural and Conformally Invariant Quantizations of Arbitrary Symbols ⋮ Natural and projectively equivariant quantizations by means of Cartan connections

Cites Work

• Space of second-order linear differential operators as a module over the Lie algebra of vector fields
• Equivariant symbol calculus for differential operators acting on forms
• Projectively equivariant quantization map.
• The projective connections of T. Y. Thomas and J. H. C. Whitehead applied to invariant connections
• Projectively equivariant symbol calculus
• Maximal subalgebras of vector fields for equivariant quantizations
• Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions.

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