Quantum groups can be constructed by applying the quantization by deformation procedure to Lie groups endowed with a suitable Poisson bracket. Here we try to develop an understanding of these structures by investigating dynamical systems which are associated with this bracke
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
Abstract. We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an applica...
This book deals with two old mathematical problems. The first is the problem of constructing an anal...
Abstract. The dual Lie bialgebra of a certain quasitriangular Lie bialgebra structure on the Heisenb...
The purpose of this note is to establish a link between quantum groupoids and deformation quantizati...
On the basis of the quantum q-oscillator algebra in the framework of quantum groups and non-commutat...
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
Abstract. The dual Lie bialgebra of a certain quasitriangular Lie bialgebra structure on the Heisenb...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
Abstract. We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an applica...
This book deals with two old mathematical problems. The first is the problem of constructing an anal...
Abstract. The dual Lie bialgebra of a certain quasitriangular Lie bialgebra structure on the Heisenb...
The purpose of this note is to establish a link between quantum groupoids and deformation quantizati...
On the basis of the quantum q-oscillator algebra in the framework of quantum groups and non-commutat...
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
Abstract. The dual Lie bialgebra of a certain quasitriangular Lie bialgebra structure on the Heisenb...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
Abstract. We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of...
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