An inductive Ext non-vanishing theorem for the $p$-adic general linear group
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915759071952896 |
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| author | Chan, Kei Yuen Qadri, Mohammed Saad |
| author_facet | Chan, Kei Yuen Qadri, Mohammed Saad |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An inductive Ext non-vanishing theorem for the $p$-adic general linear group Chan, Kei Yuen Qadri, Mohammed Saad Representation Theory 11F70, 22E50, 20C08 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. |
| title | An inductive Ext non-vanishing theorem for the $p$-adic general linear group |
| topic | Representation Theory 11F70, 22E50, 20C08 |
| url | https://arxiv.org/abs/2601.20635 |