In this paper we establish the endoscopic classification of tempered representations of quasi-
split unitary groups over local fields, and the endoscopic classification of the discrete …

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 …

We study a special class of complex irreducible representations of GL n over a local non-
Archimedean field which we call ladder representations. This is a natural class in the …

Let π 1 be a standard representation of GL n+ 1 (F) and let π 2 be the smooth dual of a
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …

Jacquet modules of ladder representations Page 1 CR Acad. Sci. Paris, Ser. I 350 (2012)
937–940 Contents lists available at SciVerse ScienceDirect CR Acad. Sci. Paris, Ser. I www.sciencedirect.com …

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

In [14], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-
adic general linear groups indexed by nonnegative integers and established the theory of …

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 a general linear group over ap-adic field. It is well known that Bernstein
components of the category of smooth representations of G are described by Hecke …