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 …

In this paper we generalize the local Jacquet-Langlands correspondence to all unitary
irreducible representations. We prove the global Jacquet-Langlands correspondence in …

In a paper by Badulescu [Global Jacquet–Langlands correspondence, multiplicity one and
classification of automorphic representations, Invent. Math. 172 (2008), 383–438], results on …

We study a local Jacquet–Langlands correspondence for all smooth irreducible
representations. This correspondence is characterized by the fact that it respects the …

Let $ G $ be the $ F $-points of a classical group defined over a $ p $-adic field $ F $ of
characteristic $0 $. We classify the irreducible unitarizable representation of $ G $ that are …

Soit $ F $ un corps commutatif localement compact non archim\'edien, et soit $ G $ une
forme int\'erieure de ${\rm GL} _n (F) $. Nous prouvons la conjecture U1 de Tadi\'{c} dans le …

Let F be a non-Archimedean local field of characteristic 0, and let D be a finite-dimensional
central division algebra over F. We prove that any unitary irreducible smooth representation …

CHARACTERS OF SPEH REPRESENTATIONS AND LEWIS CAROLL IDENTITY 1.
Introduction Let F be a non-Archimedean local field of character Page 1 …

This paper is our attempt to understand the work of Barbasch and Moy [BbMo2] on
unramified unitary dual for split classical p–adic groups from a different point of view. The …

Let A be a finite dimensional central division algebra over a local non-archimedean field F.
Fix any parabolic subgroup P of GL (n, A) and a Levi factor M of P. Let π be an irreducible …