On Martin Bordemann's proof of the existence of projectively equivariant quantizations

DOI10.2478/BF02475977zbMath1125.53070OpenAlexW1966146647MaRDI QIDQ867345

Pierre B. A. Lecomte

Publication date: 15 February 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/bf02475977

zbMATH Keywords

differential operatorsprojective structuresprojectively equivariant quantization

Mathematics Subject Classification ID

Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Deformation quantization, star products (53D55) Connections (general theory) (53C05)

Cites Work

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• Equivariant symbol calculus for differential operators acting on forms
• Projectively equivariant quantization map.
• Conformally equivariant quantization: existence and uniqueness
• Projectively equivariant symbol calculus
• Formula for the projectively invariant quantization on degree three
• Maximal subalgebras of vector fields for equivariant quantizations
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol

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