1 citations · 2 across the 6 of their papers we have counts for
6 papers
Actions of Lie 2-algebras and comomentum maps
Philippe Bonneau, Véronique Chloup-Arnould, Angela Gammella +1
In this paper we introduce the notion of a 2-action of a Lie 2-algebra on an arbitrary manifold M. Furthermore, in [Rog12], given a n-plectic manifold (M, ), the authors conside…
Quantum Kählerian Lie groups from multiplicative unitaries
P. Bieliavsky, Ph. Bonneau, F. D'Andrea +1
We show that the deformation theory of Fréchet algebras for actions of Kählerian Lie groups developed by two of us, leads in a natural way to examples of non-compact locally compac…
Universal Deformation Formulae for Three-Dimensional Solvable Lie groups
Pierre Bieliavsky, Philippe Bonneau, Yoshiaki Maeda
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 s…
Topological Hopf algebras, quantum groups and deformation quantization
Philippe Bonneau, Daniel Sternheimer
After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologies on Hopf algebr…
On the geometry of the characteristic class of a star product on a symplectic manifold
P. Bieliavsky, P. Bonneau
The characteristic class of a star product on a symplectic manifold appears as the class of a deformation of a given symplectic connection, as described by Fedosov. In contrast, on…
Fedosov Star-Products and 1-Differentiable Deformations
Philippe Bonneau
We show that every star product on a symplectic manifold defines uniquely a 1-differentiable deformation of the Poisson bracket. Explicit formulas are given. As a corollary we can…