27 citations · 140 across the 21 of their papers we have counts for
21 papers
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…
Finite rank vector bundles on inductive limits of grassmannians
Joseph Donin, Ivan Penkov
If is the projective ind-space, i.e. is the inductive limit of linear embeddings of complex projective spaces, the Barth-Van de Ven-Tyurin (BVT) Theorem claim…
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…
Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank
Joseph Donin, Vadim Ostapenko
We consider a class of homogeneous manifolds including all semisimple coadjoint orbits. We describe manifolds of that class admitting deformation q uantizations equivariant under t…