On Singular Localization of $\mathfrak{g}$-modules

Details On Singular Localization of $\mathfrak{g}$-modules On Singular Localization of $\mathfrak{g}$-modules

2010-11-03

arxiv.org/abs/1011.0896v4

Mathematics

Representation Theory

22 pages

Scientific paper

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 apply this theory to translation functors, singular
blocks in the Bernstein-Gelfand-Gelfand category $\BGGcat$ and Whittaker
modules.

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