An inductive Ext non-vanishing theorem for the $p$-adic general linear group
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Finite Group Theory Research
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 28 January 2026
- Document type
- Preprint