Geodesic
Localization of modules for a semisimple Lie algebra in prime characteristic (with an Appendix by R. Bezrukavnikov and S. Riche: Computation for sl(3))
Simon Riche1 ; Ivan Mirković2 ; Dmitriy Rumynin3 ; Roman Bezrukavnikov4
1 Université Pierre et Marie Curie, Institut de Mathématiques de Jussieu (UMR 7586 du CNRS), 75013 Paris, France
2 Department of Mathematics, University of Massachusetts, Amherst, MA 01003, United States
3 Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
4 Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, United States
Annals of mathematics, Tome 167 (2008) no. 3, pp. 945-991.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic with a given (generalized) regular central character are the same as coherent sheaves on the formal neighborhood of the corresponding (generalized) Springer fiber.
DOI : 10.4007/annals.2008.167.945

Simon Riche 1 ; Ivan Mirković 2 ; Dmitriy Rumynin 3 ; Roman Bezrukavnikov 4

1 Université Pierre et Marie Curie, Institut de Mathématiques de Jussieu (UMR 7586 du CNRS), 75013 Paris, France
2 Department of Mathematics, University of Massachusetts, Amherst, MA 01003, United States
3 Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
4 Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, United States 
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Simon Riche; Ivan Mirković; Dmitriy Rumynin; Roman Bezrukavnikov. Localization of modules for a semisimple Lie algebra in prime characteristic (with an Appendix by R. Bezrukavnikov and S. Riche: Computation for sl(3)). Annals of mathematics, Tome 167 (2008) no. 3, pp. 945-991. doi : 10.4007/annals.2008.167.945. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.167.945/

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