AbstractWe introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to cocommutative co-Poisson bialgebras, for which we construct quantization functors. This enlarges the class of co-Poisson algebras for which a quantization is known. Our result relies on our earlier work, where we showed that twists of Lie bialgebras can be quantized; we complement this work by studying the behavior of this quantization under compositions of twists
By working with several specific Poisson–Lie groups arising from Heisenberg Lie bialgebras and by ca...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
AbstractWe introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to ...
Abstract. We introduce the notion of Γ-Lie bialgebras, where Γ is a group. These ob-jects give rise ...
The purpose of this paper is to study twistings of Poisson algebras or bialgebras, coPoisson algebra...
AbstractCertain quantization problems are equivalent to the construction of morphisms from “quantum”...
Abstract. We show that any coboundary Lie bialgebra can be quantized. For this, we prove that: (a) E...
peer reviewedWe develop a new approach to deformation quantizations of Lie bialgebras and Poisson st...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
Abstract. Let (g, δ~) be a Lie bialgebra. Let (U~(g),∆~) a quantization of (g, δ~) through Etingof-K...
Abstract. Let G be a simply connected semisimple compact Lie group with standard Poisson structure, ...
Abstract. We solve a functional version of the problem of twist quantization of a cobound-ary Lie bi...
AbstractLet (g,δℏ) be a Lie bialgebra. Let (Uℏ(g),Δℏ) a quantization of (g,δℏ) through Etingof–Kazhd...
Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an applica...
Let G be a simply connected semisimple compact Lie group with standard Poisson structure, K a closed...
By working with several specific Poisson–Lie groups arising from Heisenberg Lie bialgebras and by ca...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
AbstractWe introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to ...
Abstract. We introduce the notion of Γ-Lie bialgebras, where Γ is a group. These ob-jects give rise ...
The purpose of this paper is to study twistings of Poisson algebras or bialgebras, coPoisson algebra...
AbstractCertain quantization problems are equivalent to the construction of morphisms from “quantum”...
Abstract. We show that any coboundary Lie bialgebra can be quantized. For this, we prove that: (a) E...
peer reviewedWe develop a new approach to deformation quantizations of Lie bialgebras and Poisson st...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
Abstract. Let (g, δ~) be a Lie bialgebra. Let (U~(g),∆~) a quantization of (g, δ~) through Etingof-K...
Abstract. Let G be a simply connected semisimple compact Lie group with standard Poisson structure, ...
Abstract. We solve a functional version of the problem of twist quantization of a cobound-ary Lie bi...
AbstractLet (g,δℏ) be a Lie bialgebra. Let (Uℏ(g),Δℏ) a quantization of (g,δℏ) through Etingof–Kazhd...
Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an applica...
Let G be a simply connected semisimple compact Lie group with standard Poisson structure, K a closed...
By working with several specific Poisson–Lie groups arising from Heisenberg Lie bialgebras and by ca...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
AbstractWe introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to ...
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