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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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Publication date:
2010-11-03


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Pubs id:
pubs:199450
UUID:
uuid:8ca5c8f6-bacc-4f42-88f8-97b705134e5f
Local pid:
pubs:199450
Source identifiers:
199450
Deposit date:
2012-12-19

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