Epsilon dichotomy for twisted linear models
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912173134970880 |
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| author | Xue, Hang Yan, Pan |
| author_facet | Xue, Hang Yan, Pan |
| contents | Let $E/F$ be a quadratic extension of local nonarchimedean fields of characteristic zero and let $D$ be a quaternion algebra over $F$ containing $E$. In this paper, we study a relation between the existence of twisted linear models on $\mathrm{GL}_n(D)$ and the local root numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Epsilon dichotomy for twisted linear models Xue, Hang Yan, Pan Number Theory Representation Theory 11F70, 22E50 Let $E/F$ be a quadratic extension of local nonarchimedean fields of characteristic zero and let $D$ be a quaternion algebra over $F$ containing $E$. In this paper, we study a relation between the existence of twisted linear models on $\mathrm{GL}_n(D)$ and the local root numbers. |
| title | Epsilon dichotomy for twisted linear models |
| topic | Number Theory Representation Theory 11F70, 22E50 |
| url | https://arxiv.org/abs/2404.00561 |