JournalsjemsVol. 19, No. 4pp. 1013–1070

Modular generalized Springer correspondence II: classical groups

  • Pramod N. Achar

    Louisiana State University, Baton Rouge, USA
  • Anthony Henderson

    University of Sydney, Australia
  • Daniel Juteau

    Université de Caen Basse-Normandie, France
  • Simon Riche

    Université Blaise Pascal, Aubière, France
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Abstract

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(nn) with coefficients of arbitrary characteristic and for SO(nn) and Sp(2nn) with characteristic-2 coefficients.

Cite this article

Pramod N. Achar, Anthony Henderson, Daniel Juteau, Simon Riche, Modular generalized Springer correspondence II: classical groups. J. Eur. Math. Soc. 19 (2017), no. 4, pp. 1013–1070

DOI 10.4171/JEMS/687