6 citations · 16 across the 6 of their papers we have counts for
6 papers
G-Systems and Deformation of G-Actions On Rd
Benoit Dherin, Igor Mencattini
Given a (smooth) action of a Lie group G on Rd we construct a DGA whose Maurer-Cartan elements are in one to one correspondence with some class of defomations of the (induced) G-ac…
Deformation quantization of Leibniz algebras
Benoit Dherin, Friedrich Wagemann
This paper has two parts. The first part is a review and extension of the methods of integration of Leibniz algebras into Lie racks, including as new feature a new way of integrati…
Quantizations of Momentum Maps and G-Systems
Benoit Dherin, Igor Mencattini
In this note, we give an explicit formula for a family of deformation quantizations for the momentum map associated with the cotangent lift of a Lie group action on Rd. This family…
Formal symplectic realizations
Alejandro Cabrera, Benoit Dherin
We study the relationship between several constructions of symplectic realizations of a given Poisson manifold. Our main result is a general formula for a formal symplectic realiza…
Quantization of (volume-preserving) actions on R^d
Benoit Dherin, Igor Mencattini
We associate a space of (formal) representations on the space of h-formal power series with coefficients in the space of smooth functions on Rd (which we call quantizations) with a…
The Universal Generating Function of Analytical Poisson Structures
Benoit Dherin
The notion of generating functions of Poisson structures was first studied in math.SG/0312380.They are special functions which induce, on open subsets of , a Poisson structur…