An inductive Ext non-vanishing theorem for the $p$-adic general linear group
Representation Theory
2026-01-29 v1
Abstract
We study some homological properties of the parabolic induction functor for the -adic general linear group. We obtain an embedding theorem of Ext-groups in the context of parabolic induction. As an application, we establish and prove a variation of the non-tempered Gan-Gross-Prasad conjecture in homological branching laws for -adic general linear groups.
Cite
@article{arxiv.2601.20635,
title = {An inductive Ext non-vanishing theorem for the $p$-adic general linear group},
author = {Kei Yuen Chan and Mohammed Saad Qadri},
journal= {arXiv preprint arXiv:2601.20635},
year = {2026}
}