G. Halbout

most citedFormality theorem for Lie bialgebras and quantization of coboundary r-matrices

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

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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

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.QA2002

Poisson algebras associated to quasi-Hopf algebras

B. Enriquez, G. Halbout

We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible…