On irreducibility of six-dimensional compatible systems of $\mathbb{Q}$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915798914695168 |
|---|---|
| author | Dai, Boyi |
| author_facet | Dai, Boyi |
| contents | We study the irreducibility of 6-dimensional strictly compatible systems of Q with distinct Hodge-Tate weights. We prove that if one of the representations $ρ$ in such a system is irreducible and satisfies a self-dual condition $ρ^{\vee}\otimesχ\congρ$ for some character $χ$, then all but finitely many of them are irreducible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04541 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On irreducibility of six-dimensional compatible systems of $\mathbb{Q}$ Dai, Boyi Number Theory 11F80, 11F70, 11F22, 20G05 We study the irreducibility of 6-dimensional strictly compatible systems of Q with distinct Hodge-Tate weights. We prove that if one of the representations $ρ$ in such a system is irreducible and satisfies a self-dual condition $ρ^{\vee}\otimesχ\congρ$ for some character $χ$, then all but finitely many of them are irreducible. |
| title | On irreducibility of six-dimensional compatible systems of $\mathbb{Q}$ |
| topic | Number Theory 11F80, 11F70, 11F22, 20G05 |
| url | https://arxiv.org/abs/2503.04541 |