arXiv · 1011.0896
On Singular Localization of $\mathfrak{g}$-modules
Abstract
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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Erik Backelin, Kobi Kremnizer. 2010-11-03. On Singular Localization of $\mathfrak{g}$-modules. https://arxiv.org/abs/1011.0896
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