Universal Deformation Formulae for Three-Dimensional Solvable Lie groups
Quantum Algebra
2007-05-23 v1 Symplectic Geometry
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).
Keywords
Cite
@article{arxiv.math/0308188,
title = {Universal Deformation Formulae for Three-Dimensional Solvable Lie groups},
author = {Pierre Bieliavsky and Philippe Bonneau and Yoshiaki Maeda},
journal= {arXiv preprint arXiv:math/0308188},
year = {2007}
}