Abstract Following 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
summary:In the paper the origins of the intrinsic unitary symmetry encountered in the study of boson...
summary:In the paper the origins of the intrinsic unitary symmetry encountered in the study of boson...
We present a new family of quantum Weyl algebras where the polynomial part is the quantum analog of ...
Abstract Following a preceding paper of Tarasov and the second author, we define and study a new str...
AbstractFollowing a preceding paper of Tarasov and the second author, we define and study a new stru...
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...
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...
We present a categorical point of view on dynamical quantum groups in terms of categories of Harish-...
We present a categorical point of view on dynamical quantum groups in terms of categories of Harish-...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
For a quasi-split Satake diagram, we define a modified $q$-Weyl algebra, and show that there is an a...
We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf al...
summary:In the paper the origins of the intrinsic unitary symmetry encountered in the study of boson...
summary:In the paper the origins of the intrinsic unitary symmetry encountered in the study of boson...
We present a new family of quantum Weyl algebras where the polynomial part is the quantum analog of ...
Abstract Following a preceding paper of Tarasov and the second author, we define and study a new str...
AbstractFollowing a preceding paper of Tarasov and the second author, we define and study a new stru...
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...
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...
We present a categorical point of view on dynamical quantum groups in terms of categories of Harish-...
We present a categorical point of view on dynamical quantum groups in terms of categories of Harish-...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
For a quasi-split Satake diagram, we define a modified $q$-Weyl algebra, and show that there is an a...
We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf al...
summary:In the paper the origins of the intrinsic unitary symmetry encountered in the study of boson...
summary:In the paper the origins of the intrinsic unitary symmetry encountered in the study of boson...
We present a new family of quantum Weyl algebras where the polynomial part is the quantum analog of ...