On the finite length of some $p$-adic representations of the quaternion algebra over $\Q_p$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914107643396096 |
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| author | Liu, Hao Wang, Haoran |
| author_facet | Liu, Hao Wang, Haoran |
| contents | Let $D$ be the non-split quaternion algebra over $\Q_p$. We prove that a class of admissible unitary Banach space representations of $D^{\times}$ are topologically of finite length. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19218 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the finite length of some $p$-adic representations of the quaternion algebra over $\Q_p$ Liu, Hao Wang, Haoran Number Theory Let $D$ be the non-split quaternion algebra over $\Q_p$. We prove that a class of admissible unitary Banach space representations of $D^{\times}$ are topologically of finite length. |
| title | On the finite length of some $p$-adic representations of the quaternion algebra over $\Q_p$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.19218 |