PreprintModular generalized Springer correspondence II: classical groupsPramod N. Achar, Anthony Henderson, Daniel Juteau and Simon RicheAbstractWe 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 \(\mathrm{SL}(n)\) with coefficients of arbitrary characteristic and for \(\mathrm{SO}(n)\) and \(\mathrm{Sp}(2n)\) with characteristic\(2\) coefficients. AMS Subject Classification: Primary 17B08, 20G05; Secondary 14M15.
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