Universal Deformation Formulae for Three-Dimensional Solvable Lie groups

Details Universal Deformation Formulae for Three-Dimensional Solvable Lie groups Universal Deformation Formulae for Three-Dimensional Solvable Lie groups

2003-08-20

arxiv.org/abs/math/0308188v1

Mathematics

Quantum Algebra

Scientific paper

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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