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

Eknath Ghate, Mihir Sheth

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…