Universal Deformation Formulae for Three-Dimensional Solvable Lie groupsReport as inadecuate




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1 Géométrie Différentielle et Algèbre - Géométrie Différentielle et Algèbre 2 IMB - Institut de Mathématiques de Bourgogne Dijon 3 MMAS - Laboratoire Méthodes Mathématiques pour l-Analyse des Systèmes 4 Department of Mathematics - Department of Mathematics

Abstract : We apply methods from strict quantization of solvablesymmetric spaces to obtain universal deformation formulae for actions of every three-dimensional solvable Lie group. We also study compatible co-products by generalizing the notion of smash product in the context of Hopf algebras. We investigate in particular the dressing action of the `book- group on SU2.

Keywords : Hopf algebras symmetric spaces strict quantization





Author: Pierre Bieliavsky - Philippe Bonneau - Yoshiaki Maeda -

Source: https://hal.archives-ouvertes.fr/



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