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Bibliographic Details
Main Authors: Meli, Alexander Bertoloni, Dillery, Peter
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.07042
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Table of Contents:
  • We construct, for a $p$-adic field $F$, an explicit semisimple Tannakian category $\text{RigIsoc}_{F}$ whose category of fiber functors recovers Kaletha's Galois gerbe $\mathcal{E}_{\text{Kal}}$. We then classify and write down the simple objects in $\text{RigIsoc}_{F}$, all of which come from elliptic twisted Levi subgroups of $\mathrm{GL}_{n}$.