35 citations · 190 across the 24 of their papers we have counts for
6 papers · 1 filter
Hall categories and KLR categorification
Adam Gal, Elena Gal, Kobi Kremnizer
This paper is the first step in the project of categorifying the bialgebra structure on the half of quantum group by using geometry and Hall algebras. We equi…
Global quantum differential operators on quantum flag manifolds, theorems of Duflo and Kostant
Erik Backelin, Kobi Kremnizer
We give a short new proof for the theorem that global sections of the sheaf of quantum differential operators on a quantum flag manifold are given by the quantum group. As corollar…
Singular localization for Quantum groups at generic
Erik Backelin, Kobi Kremnizer
We quantize parabolic flag manifolds and describe categories of equivariant quantum $\D$-modules on them at a singular central character. We compute global sections at any $q \in \…
On Singular Localization of -modules
Erik Backelin, Kobi Kremnizer
We prove a singular version of Beilinson-Bernstein localization for a complex semi-simple Lie algebra following ideas from the positive characteristic case done by \cite{BMR2}. We…
A Localization Theorem for Finite W-algebras
Christopher Dodd, Kobi Kremnizer
Following the work of Beilinson-Bernstein and Kashiwara-Rouquier, we give a geometric interpretation of certain categories of modules over the finite W-algebra. As an application w…
Localization for quantum groups at a root of unity
Erik Backelin, Kobi Kremnizer
In the paper \cite{BK} we defined categories of equivariant quantum -modules and -modules on the quantum flag variety of . We proved that the Beili…