We give new criteria for the irreducibility of parabolic induction on the general linear group
and its inner forms over a local non-archimedean field. In particular, we give a necessary …

Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite-
dimensional central division F-algebra, and let R be an algebraically closed field of …

In the present paper, we reformulate Mœglin's explicit construction of local A-packets of split
odd special orthogonal groups and symplectic groups. By this reformulation together with …

Let π be an irreducible, complex, smooth representation of GL n over a local non-
archimedean (skew) field. Assuming π has regular Zelevinsky parameters, we give a …

Abstract Let\(G_n\) be an inner form of a general linear group over a non-Archimedean local
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …

Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite-
dimensional central division F-algebra and let R be an algebraically closed field of …

Given a (complex, smooth) irreducible representation $\pi $ of the general linear group over
a non-archimedean local field and an irreducible supercuspidal representation $\sigma $ of …

Let $ F $ be a non-archimedean local field and $ r $ a non-negative integer. The
classification of the irreducible representations of $ GL_r (F) $ in terms of supercuspidal …

Dans la théorie des représentations de GLn (et ses formes intérieures) sur un corps local
non-archimédien, nous disposons de deux classifications, dues à Zelevinsky et Langlands …

In this article, we develop a process to symmetrize the irreducible admissible
representations of GL n (F) with F being a finite extension of Q p, as a consequence we …