AbstractFollowing a preceding paper of Tarasov and the second author, we define and study a new structure, which may be regarded as the dynamical analog of the Weyl group for Lie algebras and of the quantum Weyl group for quantized enveloping algebras. We give some applications of this new structure
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...
Abstract Following a preceding paper of Tarasov and the second author, we define and study a new str...
Abstract Following a preceding paper of Tarasov and the second author, we define and study a new str...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
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...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf al...
AbstractIn this paper we realize the dynamical categories introduced in our previous paper as catego...
This volume presents research conducted between 1989 and 1991 by the participants in the Leningrad S...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...
Abstract Following a preceding paper of Tarasov and the second author, we define and study a new str...
Abstract Following a preceding paper of Tarasov and the second author, we define and study a new str...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
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...
Quantum groups can be constructed by applying the quantization by deformation procedure to Lie group...
We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf al...
AbstractIn this paper we realize the dynamical categories introduced in our previous paper as catego...
This volume presents research conducted between 1989 and 1991 by the participants in the Leningrad S...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unit...
The aim of this thesis is to provide a definition of dynamical symme- try and to study its propertie...