Packets of Serre weights for generic locally reducible two-dimensional Galois representations

Misja F. A. Steinmetz

Suppose $K/{\mathbb{Q}}_p$ is finite and $\overline{r}:G_K\to {\mathrm{GL}}_2({\overline{\mathbb{F}}}_p)$ is a reducible Galois representation. In this paper we prove that we can u…