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).