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A star-product approach to noncompact quantum groups
Authors:Frédéric Bidegain and Georges Pinczon
Institution:(1) Laboratoire d'Algèbre et Analyse: Théorie des représentations Physique Mathématique, Université de Bourgogne, BP 138, F-21004 Dijon Cedex, France
Abstract:Using the duality and the topological theory of well-behaved Hopf algebras, we construct star-product models of noncompact quantum groups from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras of simple Lie algebras. Our star-products act not only on coefficient functions of finite-dimensional representations, but actually on allC infin functions, and they even exist for nonlinear (semi-simple) Lie groups.
Keywords:AMS classification 17B37  16W30  22D05  46H99  81R50
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