Formula for the projectively invariant quantization on degree three

Sofiane Bouarroudj

doi:10.1016/S0764-4442(01)02056-0

Formula for the projectively invariant quantization on degree three

Sofiane Bouarroudj

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give an explicit formula for the projectively invariant quantization map between the space of symbols of degree three and the space of third-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie algebra of vector fields on a manifold.

Original language	English (US)
Pages (from-to)	343-346
Number of pages	4
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Issue number	4
DOIs	https://doi.org/10.1016/S0764-4442(01)02056-0
State	Published - Aug 15 2001

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(01)02056-0

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title = "Formula for the projectively invariant quantization on degree three",

abstract = "We give an explicit formula for the projectively invariant quantization map between the space of symbols of degree three and the space of third-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie algebra of vector fields on a manifold.",

author = "Sofiane Bouarroudj",

note = "Funding Information: 1Research supported by the Japan Society for the Promotion of Science.",

year = "2001",

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doi = "10.1016/S0764-4442(01)02056-0",

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AB - We give an explicit formula for the projectively invariant quantization map between the space of symbols of degree three and the space of third-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie algebra of vector fields on a manifold.

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Formula for the projectively invariant quantization on degree three

Abstract

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