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 a series of three earlier papers, we considered a family of restriction problems for classical
groups (over local and global fields) and proposed precise answers to these problems using …

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 …

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 paper, we deduce explicit multiplicity formulas of the Fourier-Jacobi model for Deligne-
Lusztig characters of finite symplectic groups, unitary groups, and general linear groups. We …

Let $ F $ be a non-Archimedean field. A sequence of derivatives of generalized Steinberg
representations can be used to construct simple quotients of Bernstein-Zelevinsky …

In this mostly expository article, we consider certain homological aspects of branching laws
for representations of a group restricted to its subgroups in the context of $ p $-adic groups …

Let $ F $ be a non-archimedean local field. Let $\pi_1 $ and $\pi_2 $ be irreducible Arthur
type representations of $\mathrm {GL} _n (F) $ and $\mathrm {GL} _ {n-1}(F) $ respectively …

We provide a microlocal necessary condition for distinction of admissible representations of
real reductive groups in the context of spherical pairs. Let be a complex algebraic reductive …

Let $ G_n=\mathrm {GL} _n (F) $ be the general linear group over a non-Archimedean local
field $ F $. We formulate and prove a necessary and sufficient condition on determining …