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.
Cite this article
Erik Backelin, Kobi Kremnitzer, Singular localization of -modules and applications to representation theory. J. Eur. Math. Soc. 17 (2015), no. 11, pp. 2763–2787DOI 10.4171/JEMS/570