8 citations · 32 across the 10 of their papers we have counts for
7 papers · 1 filter
Projective and Whittaker functors on category
Juan Camilo Arias, Erik Backelin
We show that the Whittaker functor on a regular block of the BGG-category of a semisimple complex Lie algebra can be obtained by composing a translation to the wall f…
Higher Auslander-Reiten sequences and -structures
Juan Camilo Arias Uribe, Erik Backelin
Let be an artin algebra and an additive subcategory of . We construct a -structure on the homotopy category $\operatorname{K}^{-}(\mathc…
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…
Auslander-Reiten sequences and -structures on the homotopy category of an abelian category
Erik Backelin, Omar Jaramillo
We use -structures on the homotopy category for an artin algebra and Watts' representability theorem to give an existence proof for Auslander-Reiten sequences o…