On Martin Bordemann's proof of the existence of projectively equivariant quantizations
type: Item
instance of: scholarly article
title: On Martin Bordemann's proof of the existence of projectively equivariant quantizations
zbMATH Open document ID: 1125.53070
DOI: 10.2478/BF02475977
author: Pierre B. A. Lecomte
published in: Central European Journal of Mathematics
publication date: 2007-02-15T00:00:00Z
review text: The notion of projectively equivariant quantization has been introduced by the author in [Prog. Theor. Phys. Suppl. 144, 125--132, (2001; Zbl 1012.53069)]. The idea was to extend results concerning flat projective manifolds obtained by V. Ovsienko and the author to arbitrary smooth manifolds. In the middle of 2002, M. Bordemann wrote a nice paper [math.DG/0208171] where he showed that such quantizations exist on every manifold. The purpose of this short paper is to explain what the quantizations for which the notion has been introduced are and to explain the main steps in the proof of Bordemann.
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 58H99
zbMATH DE Number: 5127113
zbMATH Keywords: differential operators
zbMATH Keywords: projective structures
zbMATH Keywords: projectively equivariant quantization
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.2478/bf02475977
OpenAlex ID: W1966146647
description: scientific article; zbMATH DE number 5127113