N. Abe

activity

20062024

most citedA classification of irreducible admissible mod p representations of p-adic reductive groups

33 citations · 115 across the 26 of their papers we have counts for

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7 papers · 1 filter

math.NT2023★ 2 cited

On the irreducibility of $p$ -adic Banach principal series of $p$ -adic $GL_{3}$

Noriyuki Abe, Florian Herzig

We establish an optimal (topological) irreducibility criterion for $p$ -adic Banach principal series of $GL_{n} (F)$ , where $F / Q_{p}$ is finite and $n \leq 3$ . This is…

math.NT2023★ 2 cited

On the irreducibility of $p$ -adic Banach principal series of $p$ -adic reductive groups

Noriyuki Abe, Florian Herzig

Suppose that $G$ is the group of $F$ -points of a connected reductive group over $F$ , where $F / Q_{p}$ is a finite extension. We study the (topological) irreducibility of prin…

math.NT2018★ 1 cited

Inverse Satake isomorphism and change of weight

Noriyuki Abe, Florian Herzig, Marie-France Vignéras

Let $G$ be any connected reductive $p$ -adic group. Let $K \subset G$ be any special parahoric subgroup and $V, V^{'}$ be any two irreducible smooth $F_{p} [K]$ -modules.…

math.NT2017★ 4 cited

On pro- $p$ -Iwahori invariants of $R$ -representations of reductive $p$ -adic groups

Noriyuki Abe, Guy Henniart, Marie-France Vigneras

Let $F$ be locally compact field with residue characteristic $p$ , and $G$ a connected reductive $F$ -group. Let $U$ be a pro- $p$ Iwahori subgroup of $G = \mathbf{…

math.NT2017★ 5 cited

Modulo $p$ representations of reductive $p$ -adic groups: functorial properties

Noriyuki Abe, Guy Henniart, Marie-France Vignéras

Let $F$ be a local field with residue characteristic $p$ , let $C$ be an algebraically closed field of characteristic $p$ , and let $G$ be a connected reductive $F$ -group. I…

math.NT2017★ 6 cited

Questions on mod p representations of reductive p-adic groups

Noriyuki Abe, Guy Henniart, Florian Herzig +1

This is a list of questions raised by our joint work arXiv:1412.0737 and its sequels.

On the irreducibility of p-adic Banach principal series of p-adic GL3​

On the irreducibility of p-adic Banach principal series of p-adic reductive groups