Geodesic
Modular generalized Springer correspondence I: the general linear group
Journal of the European Mathematical Society, Tome 18 (2016) no. 7, pp. 1405-1436

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

We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the ‘recollement’ properties, and with subquotients equivalent to categories of representations of a product of symmetric groups.
DOI : 10.4171/jems/618
Classification : 17-XX, 14-XX, 20-XX
Keywords: Springer correspondence, nilpotent cone, nilpotent orbits, perverse sheaves, cuspidal pairs, recollement, Fourier transform, modular reduction 
@article{JEMS_2016_18_7_a0,
     author = {Pramod N. Achar and Anthony Henderson and Daniel Juteau and Simon Riche},
     title = {Modular generalized {Springer} correspondence {I:} the general linear group},
     journal = {Journal of the European Mathematical Society},
     pages = {1405--1436},
     publisher = {mathdoc},
     volume = {18},
     number = {7},
     year = {2016},
     doi = {10.4171/jems/618},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/618/}
}
TY  - JOUR
AU  - Pramod N. Achar
AU  - Anthony Henderson
AU  - Daniel Juteau
AU  - Simon Riche
TI  - Modular generalized Springer correspondence I: the general linear group
JO  - Journal of the European Mathematical Society
PY  - 2016
SP  - 1405
EP  - 1436
VL  - 18
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/618/
DO  - 10.4171/jems/618
ID  - JEMS_2016_18_7_a0
ER  - 
%0 Journal Article
%A Pramod N. Achar
%A Anthony Henderson
%A Daniel Juteau
%A Simon Riche
%T Modular generalized Springer correspondence I: the general linear group
%J Journal of the European Mathematical Society
%D 2016
%P 1405-1436
%V 18
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/618/
%R 10.4171/jems/618
%F JEMS_2016_18_7_a0
Pramod N. Achar; Anthony Henderson; Daniel Juteau; Simon Riche. Modular generalized Springer correspondence I: the general linear group. Journal of the European Mathematical Society, Tome 18 (2016) no. 7, pp. 1405-1436. doi: 10.4171/jems/618

Cité par Sources :