Singular localization of $𝔤$-modules and applications to representation theory

Backelin, Erik, and Kremnitzer, Kobi. "Singular localization of $\mathfrak {g}$-modules and applications to representation theory." Journal of the European Mathematical Society 017.11 (2015): 2763-2787. <http://eudml.org/doc/277204>.

@article{Backelin2015,
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.},
author = {Backelin, Erik, Kremnitzer, Kobi},
journal = {Journal of the European Mathematical Society},
keywords = {Lie algebra; Beilinson–Bernstein localization; category O; Lie algebra; Beilinson-Bernstein localization; category O},
language = {eng},
number = {11},
pages = {2763-2787},
publisher = {European Mathematical Society Publishing House},
title = {Singular localization of $\mathfrak \{g\}$-modules and applications to representation theory},
url = {http://eudml.org/doc/277204},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Backelin, Erik
AU - Kremnitzer, Kobi
TI - Singular localization of $\mathfrak {g}$-modules and applications to representation theory
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 11
SP - 2763
EP - 2787
AB - 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.
LA - eng
KW - Lie algebra; Beilinson–Bernstein localization; category O; Lie algebra; Beilinson-Bernstein localization; category O
UR - http://eudml.org/doc/277204
ER -