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arXiv · 2507.20946

Component groups for non-supercuspidal $L$-parameters for $p$-adic $\mathrm{SL}_3$

Kwangho Choiy·Doyon Kim·Razan Taha·Pan Yan
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Abstract

We explicitly classify all the component groups associated to the non-supercuspidal, tempered $L$-parameters of $\mathrm{SL}_3(F)$ for a $p$-adic field $F$ of characteristic $0$ by direct case-by-case computations in $\mathrm{PGL}_3(\mathbb{C})$, following earlier work for $\mathrm{SL}_2$ by Labesse-Langlands and Shelstad.

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Kwangho Choiy, Doyon Kim, Razan Taha, Pan Yan. 2025-07-28. Component groups for non-supercuspidal $L$-parameters for $p$-adic $\mathrm{SL}_3$. https://arxiv.org/abs/2507.20946

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