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 …

In this paper, we give an explicit computable algorithm for the Zelevinsky–Aubert duals of
irreducible representations of-adic symplectic and odd special orthogonal groups. To do …

Let π be an irreducible, complex, smooth representation of GL n over a local non-
archimedean (skew) field. Assuming π has regular Zelevinsky parameters, we give a …

In this paper, we study the structure of the set of local Arthur parameters such that the
corresponding local Arthur packets all contain a given representation of the split classical …

Let F be a non-Archimedean local field. This paper studies homological properties of
irreducible smooth representations restricted from GL _ n+ 1 (F) GL n+ 1 (F) to GL _n (F) GL …

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 …

On restriction of unitarizable representations of general linear groups and the non-generic
local Gan–Gross–Prasad conjectur Page 1 © 2021 European Mathematical Society Published …

We prove a local Gan–Gross–Prasad conjecture on predicting the branching law for the non-
tempered representations of general linear groups in the case of non-Archimedean fields …

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 …

Given a (complex, smooth) irreducible representation $\pi $ of the general linear group over
a non-archimedean local field and an irreducible supercuspidal representation $\sigma $ of …