#banach representations

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

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…