We construct a modular generalized Springer correspondence for any classical group, by generalizing to the modular setting various results of Lusztig in the case of characteristic-0 coefficients. We determine the cuspidal pairs in all classical types, and compute the correspondence explicitly for SL(n) with coefficients of arbitrary characteristic and for SO(n) and Sp(2n) with characteristic-2 coefficients.
Publication Source (Journal or Book title)
Journal of the European Mathematical Society
Achar, P., Henderson, A., Juteau, D., & Riche, S. (2017). Modular generalized Springer correspondence II: Classical groups. Journal of the European Mathematical Society, 19 (4), 1013-1070. https://doi.org/10.4171/JEMS/687