Universal Deformation Formulae for Three-Dimensional Solvable Lie groups
Pierre Bieliavsky, Philippe Bonneau, Yoshiaki Maeda
Abstract
We apply methods from strict quantization of solvable symmetric 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 SU(2).
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