25 citations · 59 across the 14 of their papers we have counts for
14 papers
Dunkl operator and quantization of -singularity
Gilles Halbout, Xiang Tang
Let be a symplectic orbifold which is locally like the quotient of a action on . Let be a deformation quantization of constru…
Deformations of linear Poisson orbifolds
Gilles Halbout, Jean-Michel Oudom, Xiang Tang
Let be a finite group acting faithfully and linearly on a vector space . Let () be the tensor (symmetric) algebra associated to which has a natural acti…
Quantization of quasi-Lie bialgebras
B. Enriquez, G. Halbout
We construct quantization functors of quasi-Lie bialgebras. We establish a bijection between this set of quantization functors, modulo equivalence and twist equivalence, and the se…
Quantization of -quasi-Poisson manifolds and related modified classical dynamical -matrices
Gilles Halbout
Le be a -manifold and $\g$ be a finite dimensional Lie algebra acting freely on . Let $r \in \ve^2(\g)$ be such that $Z=[r,r] \in \ve^3(\g)^\g$. In this paper we p…
Weak quantization of Poisson structures
Damien Calaque, Gilles Halbout
In this paper we prove that any Poisson structure on a sheaf of Lie algebroids admits a weak deformation quantization, and give a sufficient condition for such a Poisson structure…
Quantization of Poisson-Hopf stacks associated with group Lie bialgebras
Gilles Halbout, Xiang Tang
Let be a Poisson Lie group and $\g$ its Lie bialgebra. Suppose that $\g$ is a group Lie bialgebra. This means that there is an action of a discrete group on deforming t…