Non-admissible irreducible representations of $p$-adic ${\mathrm{GL}}_n$ in characteristic $p$

Eknath Ghate, Daniel Le, Mihir Sheth

Let $p>3$ and $F$ be a non-archimedean local field with residue field a proper finite extension of ${\mathbb{F}}_p$. We construct smooth absolutely irreducible non-admissible represe…