On the irreducibility of $p$-adic Banach principal series of $p$-adic $\mathrm{GL}_3$

Autor:	Abe, Noriyuki, Herzig, Florian
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Representation Theory
Zdroj:	Vietnam J. Math. 52 (2024), no. 2, 451-478
Druh dokumentu:	Working Paper
DOI:	10.1007/s10013-023-00675-7
Popis:	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. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.13289 Zobrazit plný text záznamu View this record from Arxiv