Singular localization for Quantum groups at generic $q$

Details Singular localization for Quantum groups at generic $q$ Singular localization for Quantum groups at generic $q$

2011-02-21

arxiv.org/abs/1102.4209v2

Mathematics

Representation Theory

21 pages

Scientific paper

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 $q \in \C^*$ and we also prove a singular version of
Beilinson-Bernstein localization for a quantized enveloping algebra $\Uq(\g)$,
when $q$ is generic.

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