%0 Journal Article
%T A classification of irreducible admissible mod p representations of p-adic reductive groups
%A Noriyuki Abe
%A Guy Henniart
%A Florian Herzig
%A Marie-France Vigneras
%J Mathematics
%D 2014
%I arXiv
%X Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. We give a complete classification of irreducible admissible C-representations of G = G(F), in terms of supercuspidal C-representations of the Levi subgroups of G, and parabolic induction. Thus we push to their natural conclusion the ideas of the third-named author, who treated the case G = GL_m, as further expanded by the first-named author, who treated split groups G. As in the split case, we first get a classification in terms of supersingular representations of Levi subgroups, and as a consequence show that supersingularity is the same as supercuspidality.
%U http://arxiv.org/abs/1412.0737v1