Irreducible mod $p$ Lubin-Tate $(\phi ,\Gamma )$-modules

Abstract

Let $F$ be a finite extension of ${\mathbb{Q}}_p$. We determine the Lubin-Tate $(\phi ,\Gamma )$-modules associated to the absolutely irreducible mod $p$ representations of the absolute Galois group $\mathrm{Gal}(\bar{F}/F)$.

7 pages