20 citations · 47 across the 8 of their papers we have counts for
12 papers · 1 filter
On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups
A. Mudrov
Let be a simple complex factorizable Poisson Lie algebraic group. Let $\U_\hbar(\g)$ be the corresponding quantum group. We study $\U_\hbar(\g)$-equivariant quantization $\C_\h…
Dynamical reflection equation
Petr Kulish, Andrey Mudrov
We construct a dynamical reflection equation algebra, , via a dynamical twist of the ordinary reflection equation algebra. A dynamical version of the reflecti…
Quantum groupoids and dynamical categories
J. Donin, A. Mudrov
In this paper we realize the dynamical categories introduced in our previous paper as categories of modules over bialgebroids; we study the bialgebroids arising in this way. We def…
Dynamical Yang-Baxter equation and quantum vector bundles
J. Donin, A. Mudrov
We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf algebras. In particular, we introduce the notion of a dynamical extension of a mon…
Quantum coadjoint orbits of GL(n) and generalized Verma modules
J. Donin, A. Mudrov
In our previous paper, we constructed an explicit GL(n)-equivariant quantization of the Kirillov--Kostant-Souriau bracket on a semisimple coadjoint orbit. In the present paper, we…
On universal solution to reflection equation
J. Donin, P. P. Kulish, A. I. Mudrov
For a given quasitriangular Hopf algebra $\Ha$ we study relations between the braided group $\tilde \Ha^*$ and Drinfeld's twist. We show that the braided bialgebra structure of $\t…