Geodesic
Singular localization of $\mathfrak{g}$-modules and applications to representation theory
Journal of the European Mathematical Society, Tome 17 (2015) no. 11, pp. 2763-2787.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/570
Classification : 17-XX, 14-XX
Keywords: Lie algebra, Beilinson–Bernstein localization, category O 
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     title = {Singular localization of $\mathfrak{g}$-modules and applications to representation theory},
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Erik Backelin; Kobi Kremnitzer. Singular localization of $\mathfrak{g}$-modules and applications to representation theory. Journal of the European Mathematical Society, Tome 17 (2015) no. 11, pp. 2763-2787. doi : 10.4171/jems/570. http://geodesic.mathdoc.fr/articles/10.4171/jems/570/

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