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 
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     title = {Modular generalized {Springer} correspondence {I:} the general linear group},
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/618/

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