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). This work is aimed to be applied in a string theoretical context to produce noncommutative deformations of D-branes within a non-formal operator algebraic framework.
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Bieliavsky, P., Bonneau, P., Maeda, Y. Universal Deformation Formulae for Three-Dimensional Solvable Lie Groups. In: Carow-Watamura, U., Maeda, Y., Watamura, S. (eds) Quantum Field Theory and Noncommutative Geometry. Lecture Notes in Physics, vol 662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11342786_7
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DOI: https://doi.org/10.1007/11342786_7
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