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arXiv · 2601.20635

An inductive Ext non-vanishing theorem for the $p$-adic general linear group

Kei Yuen Chan·Mohammed Saad Qadri
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Abstract

We study some homological properties of the parabolic induction functor for the $p$-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 $p$-adic general linear groups.

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BibTeXRIS

Kei Yuen Chan, Mohammed Saad Qadri. 2026-01-28. An inductive Ext non-vanishing theorem for the $p$-adic general linear group. https://arxiv.org/abs/2601.20635

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