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Moment maps at the quantum level
Authors:Jiang-Hua Lu
Institution:(1) Department of Mathematics, MIT, 02139 Cambridge, MA, USA
Abstract:We introduce the notion of moment maps for quantum groups acting on their module algebras. When the module algebras are quantizations of Poisson manifolds, we prove that the construction at the quantum level is a quantization of that at the semi-classical level. We also prove that the corresponding smashed product algebras are quantizations of the semi-direct product Poisson structures.Research partially supported by NSF grant DMS-89-07710
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