Geometric conditions for $\square$-irreducibility of certain representations of the general linear group over a non-archimedean local field

Erez Lapid, Alberto Minguez

Let $\pi$ be an irreducible, complex, smooth representation of $G{L}_n$ over a local non-archimedean (skew) field. Assuming $\pi$ has regular Zelevinsky parameters, we give a geometric n…