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 …

Let be a non-Archimedean locally compact field of residue characteristic, let be a finite-
dimensional central division-algebra and let be a prime number different from. We develop a …

Motivated by the Langlands program in representation theory, number theory, and geometry,
the theory of representations of a reductive p-adic group, originally in complex vector …

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 FF be a non-Archimedean local field of residual characteristic p, and ℓ ℓ be a prime
number different from p. We consider the local Jacquet–Langlands correspondence …

After extending the theory of Rankin–Selberg local factors to pairs of ℓ ℓ-modular
representations of Whittaker type, of general linear groups over a non-Archimedean local …

In this paper, we study the irreducible admissible non-supercuspidal representation of $ GL_
{n}(D) $ for $ n= 3$ and $ n= 4$, with a symplectic period, ie, those representations which …

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 …