On non-admissible irreducible modulo $p$ representations of $G{L}_2({\mathbb{Q}}_{p^2})$

Abstract

We use a Diamond diagram attached to a $2$-dimensional reducible split mod $p$ Galois representation of $\mathrm{Gal}(\overline{{\mathbb{Q}}_p}/{\mathbb{Q}}_{p^2})$ to construct a non-admissible smooth irreducible mod $p$ representation of $G{L}_2({\mathbb{Q}}_{p^2})$ following the approach of Daniel Le.

6 pages

References in corpus (1)

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