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 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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 
@article{JEMS_2015_17_11_a1,
     author = {Erik Backelin and Kobi Kremnitzer},
     title = {Singular localization of $\mathfrak{g}$-modules and applications to representation theory},
     journal = {Journal of the European Mathematical Society},
     pages = {2763--2787},
     year = {2015},
     volume = {17},
     number = {11},
     doi = {10.4171/jems/570},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/570/}
}
TY  - JOUR
AU  - Erik Backelin
AU  - Kobi Kremnitzer
TI  - Singular localization of $\mathfrak{g}$-modules and applications to representation theory
JO  - Journal of the European Mathematical Society
PY  - 2015
SP  - 2763
EP  - 2787
VL  - 17
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/570/
DO  - 10.4171/jems/570
ID  - JEMS_2015_17_11_a1
ER  - 
%0 Journal Article
%A Erik Backelin
%A Kobi Kremnitzer
%T Singular localization of $\mathfrak{g}$-modules and applications to representation theory
%J Journal of the European Mathematical Society
%D 2015
%P 2763-2787
%V 17
%N 11
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/570/
%R 10.4171/jems/570
%F JEMS_2015_17_11_a1
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

Cité par Sources :