This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier
formulated for tempered or more generally generic L-packets to Arthur packets, especially …

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 …

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 …

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 …

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 …

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 …

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 …

Let G n denote either the group SO⁢(2⁢ n+ 1, F) or Sp⁢(2⁢ n, F) over a non-archimedean
local field of characteristic different than two. We study parabolically induced representations …

Let be a non-Archimedean locally compact field, be the cardinality of its residue field, and be
an algebraically closed field of characteristic not dividing. We classify all irreducible smooth …

Let G_n G n denote either the group SO (2n+ 1, F) SO (2 n+ 1, F) or Sp (2 n, F) over a non-
archimedean local field. We determine the reducibility criteria for a parabolically induced …