AbstractWe define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by ℏ-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible one. We prove a related statement: any associator is twist-equivalent to a Lie associator. We attach a quantized formal series algebra to each admissible QHQUE algebra and study the resulting Poisson algebras
We study several classes of non-associative algebras as possible candidates for deformation quantiza...
Abstract. We introduce the notion of Γ-Lie bialgebras, where Γ is a group. These ob-jects give rise ...
After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to eac...
AbstractWe define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by ℏ-adic va...
AbstractCertain quantization problems are equivalent to the construction of morphisms from “quantum”...
AbstractDrinfeld (Proceedings of the International Congress of Mathematics (Berkley, 1986), 1987, pp...
Let R be an integral domain, let h in R be anon-zero element such that k := R/hR is a field, and let...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
The purpose of this paper is to study twistings of Poisson algebras or bialgebras, coPoisson algebra...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
Let G^dif be the group of all formal power series starting with x with coefficients in a field k of ...
In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with ...
Let R be an integral domain, h non-zero in R such that R/hR is a field, and HA the category of torsi...
The "quantum duality principle" states that the quantization of a Lie bialgebra – via a quantum uni...
AbstractWe introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to ...
We study several classes of non-associative algebras as possible candidates for deformation quantiza...
Abstract. We introduce the notion of Γ-Lie bialgebras, where Γ is a group. These ob-jects give rise ...
After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to eac...
AbstractWe define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by ℏ-adic va...
AbstractCertain quantization problems are equivalent to the construction of morphisms from “quantum”...
AbstractDrinfeld (Proceedings of the International Congress of Mathematics (Berkley, 1986), 1987, pp...
Let R be an integral domain, let h in R be anon-zero element such that k := R/hR is a field, and let...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
The purpose of this paper is to study twistings of Poisson algebras or bialgebras, coPoisson algebra...
The “quantum duality principle” states that a quantisation of a Lie bialgebra provides also a quanti...
Let G^dif be the group of all formal power series starting with x with coefficients in a field k of ...
In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with ...
Let R be an integral domain, h non-zero in R such that R/hR is a field, and HA the category of torsi...
The "quantum duality principle" states that the quantization of a Lie bialgebra – via a quantum uni...
AbstractWe introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to ...
We study several classes of non-associative algebras as possible candidates for deformation quantiza...
Abstract. We introduce the notion of Γ-Lie bialgebras, where Γ is a group. These ob-jects give rise ...
After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to eac...
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