Covariant star-products
type: Item
instance of: scholarly article
title: Covariant star-products
zbMATH Open document ID: 0839.53025
author: M. Masmoudi
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1996-06-18T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73346
review text: The author presents an elementary proof of the existence theorem for \(*\)-products on a symplectic manifold originally due to \textit{M. de Wilde} and \textit{P. B. A. Lecomte} [Lett. Math. Phys. 7, 235-241 (1983; Zbl 0514.53031)]. The exposition is also based on unpublised work by Lecomte and de Wilde. Moreover, the proof and the result are specialized to the case of the coadjoint orbit in the dual of a Lie algebra endowed with its canonical symplectic structure if this allows a maximal isotropic subspace.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 824191
zbMATH Keywords: star-product
zbMATH Keywords: quantization
zbMATH Keywords: deformation
zbMATH Keywords: symplectic manifold
MaRDI profile type: Publication
OpenAlex ID: W2316881289
cites work: Deformation theory and quantization. II: Physical applications
cites work: Covariance and geometrical invariance in *quantization
cites work: Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
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cites work: Déformations d'algèbres associées à une variété symplectique (les \(*_\nu\)-produits)
cites work: Q3924880
cites work: Q3324708
cites work: On the deformation of rings and algebras
cites work: On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I
cites work: An explicit *-product on the cotangent bundle of a Lie group
DOI: 10.5802/AFST.793
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description: scientific article; zbMATH DE number 824191