N. Abe

works on

principal series 2 banach representations 1 gl_3 1 irreducibility 1 irreducibility criteria 1 local fields 1 locally analytic representations 1 p-adic Banach representations 1 p-adic groups 1 reductive groups 1

From the 2 of 3 linked papers with an AI index.

most citedOn the irreducibility of

p

-adic Banach principal series of

p

-adic reductive groups

2 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2026★ 2 cited

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

Noriyuki Abe, Florian Herzig

The paper proves a precise topological irreducibility condition for p‑adic Banach principal series representations of GLₙ(F) when n ≤ 3, confirming a refined form of Schneider’s co…

math.NT2026★ 2 cited

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

Noriyuki Abe, Florian Herzig

The paper investigates when principal series representations of p‑adic reductive groups on Banach spaces are topologically irreducible, providing optimal criteria for unitary induc…

math.RT2025

First extension groups of Verma modules and $R$ -polynomials

Noriyuki Abe

We study the first extension groups between Verma modules. There was a conjecture which claims that the dimensions of the higher extension groups between Verma modules are the coef…

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

First extension groups of Verma modules and R-polynomials

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

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

First extension groups of Verma modules and $R$ -polynomials