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

Published 3 Nov 2010 in math.RT | (1011.0896v5)

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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