Gilles Halbout

most citedFormalite

G_{\infty}

adaptee et star-representations sur des sous-varietes coisotropes

5 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2005★ 3 cited

Formality theorem for Lie bialgebras and quantization of coboundary r-matrices

Gilles Halbout

Let $(g, δ_{ℏ})$ be a Lie bialgebra. Let $(U_{ℏ} (g), Δ_{ℏ})$ a quantization of $(g, δ_{ℏ})$ through Etingof-Kazhdan functor. We prove the existence of a $L_{\infty}$ -morphism be…

math.QA2005★ 5 cited

Formalite $G_{\infty}$ adaptee et star-representations sur des sous-varietes coisotropes

Martin Bordemann, Gregory Ginot, Gilles Halbout +2

Let X be a Poisson manifold and C a coisotropic submanifold and let I be the vanishing ideal of C. In this work we want to construct a star product * on X such that I[[lambda]] is…

math.QA2005

Coboundary Lie bialgebras and commutative subalgebras of universal enveloping algebras

B. Enriquez, G. Halbout

We solve a functional version of the problem of twist quantization of a coboundary Lie bialgebra (g,r,Z). We derive from this the following results: (a) the formal Poisson manifold…

Formality theorem for Lie bialgebras and quantization of coboundary r-matrices

Formalite G∞​ adaptee et star-representations sur des sous-varietes coisotropes

Coboundary Lie bialgebras and commutative subalgebras of universal enveloping algebras

Formalite $G_{\infty}$ adaptee et star-representations sur des sous-varietes coisotropes