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Journal Articles Journal of the European Mathematical Society Year : 2017

Modular generalized Springer correspondence II: classical groups

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(n) with coefficients of arbitrary characteristic and for SO(n) and Sp(2n) with characteristic-2 coefficients.
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Dates and versions

hal-00974454 , version 1 (07-04-2014)
hal-00974454 , version 2 (22-04-2014)
hal-00974454 , version 3 (03-02-2015)

Identifiers

  • HAL Id : hal-00974454 , version 3

Cite

Pramod N. Achar, Anthony Henderson, Daniel Juteau, Simon Riche. Modular generalized Springer correspondence II: classical groups. Journal of the European Mathematical Society, 2017, 19, pp.1013-1070. ⟨hal-00974454v3⟩
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