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) …

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 …

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 …

arXiv:2303.05766v1 [math.NT] 10 Mar 2023 Page 1 arXiv:2303.05766v1 [math.NT] 10 Mar 2023
HIGHER EXT-GROUPS IN THE TRIPLE PRODUCT CASE LI CAI AND YANGYU FAN Abstract …

Let G be a p-adic classical group. The representations in a given Bernstein component can
be viewed as modules for the corresponding Hecke algebra—the endomorphism algebra of …

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 …

We prove Sarnak's spherical density conjecture for the principal congruence subgroup of SL
(n, Z) of arbitrary level. Applications include a complete version of Sarnak's optimal lifting …