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Universal Deformation Formulae for Three-Dimensional Solvable Lie groups

Pierre Bieliavsky·Philippe Bonneau·Yoshiaki Maeda
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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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Pierre Bieliavsky, Philippe Bonneau, Yoshiaki Maeda. 2003-08-20. Universal Deformation Formulae for Three-Dimensional Solvable Lie groups. https://arxiv.org/abs/math/0308188

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