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

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4 papers · 1 filter

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…

math.QA2003★ 4 cited

Star-Representations sur des sous-varietes co-isotropes

M. Bordemann, G. Ginot, G. Halbout +2

For a coisotropic (or first-class) submanifold C of a Poisson manifold X we consider star-products for which the vanishing ideal I of C becomes a left ideal in the deformed algebra…

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

Star-Representations sur des sous-varietes co-isotropes

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