dorsal/arxiv
View SchemaA Tannakian description of the local Kaletha gerbe
| Authors | Alexander Bertoloni Meli, Peter Dillery |
|---|---|
| Categories | |
| ArXiv ID | 2601.07042vv1 |
| URL | https://arxiv.org/abs/2601.07042 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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 $\mathrm{GL}_{n}$.
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"abstract": "We construct, for a $p$-adic field $F$, an explicit semisimple Tannakian category $\\text{RigIsoc}_{F}$ whose category of fiber functors recovers Kaletha\u0027s 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 $\\mathrm{GL}_{n}$.",
"arxiv_id": "2601.07042",
"authors": [
"Alexander Bertoloni Meli",
"Peter Dillery"
],
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A Tannakian description of the local Kaletha gerbe",
"url": "https://arxiv.org/abs/2601.07042",
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