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

TL;DR

This paper determines the detailed internal structure of all irreducible smooth mod p representations of SL(2,Q_{p}) by analyzing their socle filtrations, building on previous work by the authors.

Contribution

It provides a complete description of the socle filtration for these representations, advancing understanding of their internal structure.

Findings

Complete socle filtration of irreducible smooth mod p representations of SL(2,Q_{p})

Extension of previous results to all such representations

Clarification of their internal hierarchical structure

Abstract

Let p be an odd prime number. Using some previous work of the two authors, we determine the socle filtration of all irreducible smooth mod p representations of SL(2,Q_{p}).