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 locally compact non-archimedean field, $ p $ its residue characteristic, and
$\textbf {G} $ a connected reductive group over $ F $. Let $ C $ be an algebraically closed …

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 …

Using the work of Fargues-Scholze, we prove a vanishing theorem for the generic
unramified part of the cohomology of local Shimura varieties of general linear groups. This …

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 …

We establish integral analogues of results of Bushnell and Henniart for spaces of Whittaker
functions arising from the groups GL n (F) for F ap-adic field. We apply the resulting theory to …

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 …

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 …

Let G be a general linear group over ap-adic field and let D× be an anisotropic inner form of
G. The Jacquet–Langlands correspondence between irreducible complex representations of …