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math.RT2011★ 1 cited
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…
math.RT2011
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 \…