Universal Deformation Formulae for Three-Dimensional Solvable Lie groups

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 SU(2).
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https://hal.archives-ouvertes.fr/hal-00000550
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Submitted on : Monday, August 18, 2003 - 3:47:17 PM
Last modification on : Monday, March 4, 2019 - 2:22:27 PM
Long-term archiving on : Monday, March 29, 2010 - 4:47:51 PM

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Pierre Bieliavsky, Philippe Bonneau, Yoshiaki Maeda. Universal Deformation Formulae for Three-Dimensional Solvable Lie groups. 2003. ⟨hal-00000550⟩

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