Component groups for non-supercuspidal $L$-parameters for $p$-adic $\mathrm{SL}_3$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909709367246848 |
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| author | Choiy, Kwangho Kim, Doyon Taha, Razan Yan, Pan |
| author_facet | Choiy, Kwangho Kim, Doyon Taha, Razan Yan, Pan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20946 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Component groups for non-supercuspidal $L$-parameters for $p$-adic $\mathrm{SL}_3$ Choiy, Kwangho Kim, Doyon Taha, Razan Yan, Pan Representation Theory Number Theory 22E50 (Primary) 22E35, 11F70 (Secondary) 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. |
| title | Component groups for non-supercuspidal $L$-parameters for $p$-adic $\mathrm{SL}_3$ |
| topic | Representation Theory Number Theory 22E50 (Primary) 22E35, 11F70 (Secondary) |
| url | https://arxiv.org/abs/2507.20946 |