On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group

Abstract

We give a classification of irreducible admissible modulo $p$ representations of a split $p$-adic reductive group in terms of supersingular representations. This is a generalization of a theorem of Herzig.

25 pages

Cited by in corpus (8)

• A classification of irreducible admissible mod p representations of p-adic reductive groups
• Ordinary representations of G(Q_p) and fundamental algebraic representations
• On special representations of $p$-adic reductive groups
• Compatibility between Satake and Bernstein-type isomorphisms in characteristic p
• Parabolic induction and extensions
• Sur une conjecture de Breuil-Herzig
• Freeness of spherical Hecke modules of unramified $U(2,1)$ in characteristic $p$
• Inverse Satake isomorphism and change of weight