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Parabolically induced mod p representations of reductive p-adic groups

December 1, 2014
Keywords:
  • modular representations
  • supersingular and supercuspidal representation
  • parabolic induction
MSC:
  • 20C20
  • 20C11
  • 20C08
  • 20Cxx
  • 20-xx
Abstract
The classification of the irreducible admissible C-representations of the reductive p-adic groups G = G(F) (where F is a finite extension of Qp or of Fp((X)) and C an algebraically closed field of character- istic p) is reduced to the classification of the supercuspidal, or equivalently supersingular, C-representations via parabolic induction (Abe-Henniart-Herzig-Vigneras).
Supplementary Materials