Diagrammes canoniques et representations modulo $p$ de $\GL_2(F)$

Abstract

Let $p$ be a prime number and $F$ a local field with residual characteristic $p$. In this article, to an irreducible smooth representation of $G{L}_2(F)$ over ${\bar{\mathbf{F}}}_p$ with central character, we associate canonically a diagram which determines the original representation up to isomorphism. We also determine it in some cases.

47 pages in French; v3 final version

References in corpus (1)

• Coefficient systems and supersingular representations of $G{L}_2(F)$

Cited by in corpus (1)

• Structure interne des representations modulo p de SL(2,Q_{p})