On the irreducibility of $p$-adic Banach principal series of $p$-adic $\mathrm{GL}_3$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911867135328256 |
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| author | Abe, Noriyuki Herzig, Florian |
| author_facet | Abe, Noriyuki Herzig, Florian |
| contents | We establish an optimal (topological) irreducibility criterion for $p$-adic Banach principal series of $\mathrm{GL}_{n}(F)$, where $F/\mathbb{Q}_p$ is finite and $n \le 3$. This is new for $n = 3$ as well as for $n = 2$, $F \ne \mathbb{Q}_p$ and establishes a refined version of Schneider's conjecture [Sch06, Conjecture 2.5] for these groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13289 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the irreducibility of $p$-adic Banach principal series of $p$-adic $\mathrm{GL}_3$ Abe, Noriyuki Herzig, Florian Number Theory Representation Theory We establish an optimal (topological) irreducibility criterion for $p$-adic Banach principal series of $\mathrm{GL}_{n}(F)$, where $F/\mathbb{Q}_p$ is finite and $n \le 3$. This is new for $n = 3$ as well as for $n = 2$, $F \ne \mathbb{Q}_p$ and establishes a refined version of Schneider's conjecture [Sch06, Conjecture 2.5] for these groups. |
| title | On the irreducibility of $p$-adic Banach principal series of $p$-adic $\mathrm{GL}_3$ |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2303.13289 |