Extensions of mod p representations of division algebras over non-Archimedean local fields

Andrew Keisling, Dylan Pentland

Let $F$ be a local field over ${\mathbf{Q}}_p$ or ${\mathbf{F}}_p((t))$, and let $D$ be a central simple division algebra over $F$ of degree $d$. In the $p$-adic case, we assume $p>de+…