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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Opérateurs de Rankin-Cohen et matrices de fusion / Rankin-Cohen Operators and fusion matrices

Medina luna, Manuel Jair 26 January 2016 (has links)
Ce travail est consacré a l'étude des déformations covariantes des orbites co-adjointes du groupe de Lie SL(2,R).Nous établissons un lien entre des méthodes de quantification basées sur les crochets de Rankin-Cohen et les matrices de fusion pour les modules de Verma. Par ailleurs nous formalisons et étudions la notion associée d'algèbre de Rankin-Cohen qui contrôle l'associativité de ces déformations. / This work is devoted to the study of covariant star-product on coadjointorbits of the Lie group SL(2,R). We establish a correspondence between two quantization methods. The first is based on the Rankin-Cohen brackets and the second is based in the canonical element associate to the Shapovalov form and fusion matrices for Verma modules.Furthermore we formalize and study the associated notion of non-commutative algebra that controls the associativity of these deformations.
Matrice de fusion
Rankin-Cohen crochet
Quantification
Déformation
Module de Verma
Dualité de Shapovalov
Fusion matrix
Rankin-Cohen bracket
Quantization
Deformation
Verma module
Shapovalov form

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