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Singular localization of -modules and applications to representation theory
Erik Backelin, Kobi Kremnitzer
Source abstract
We prove a singular version of Beilinson–Bernstein localization for a complex semi-simple Lie algebra following ideas from the positive characteristic case settled by [BMR06]. We apply this theory to translation functors, singular blocks in the Bernstein–Gelfand–Gelfand category O and Whittaker modules.
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