Extended Weil representations: the non-dyadic local field cases
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929201569857536 |
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| author | Wang, Chun-Hui |
| author_facet | Wang, Chun-Hui |
| contents | Let F be a non-archimedean local field of odd residual characteristic. Let W be a symplectic vector space over F. It is known that there are different Weil representations of a Meteplectic covering group Mp(W). By some twisted actions, we reorganize them as a representation of $PGMp^{\pm}(W)$, which is a covering group related to the projective similitude symplectic group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07667 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extended Weil representations: the non-dyadic local field cases Wang, Chun-Hui Representation Theory Number Theory 11F27, 20C25 Let F be a non-archimedean local field of odd residual characteristic. Let W be a symplectic vector space over F. It is known that there are different Weil representations of a Meteplectic covering group Mp(W). By some twisted actions, we reorganize them as a representation of $PGMp^{\pm}(W)$, which is a covering group related to the projective similitude symplectic group. |
| title | Extended Weil representations: the non-dyadic local field cases |
| topic | Representation Theory Number Theory 11F27, 20C25 |
| url | https://arxiv.org/abs/2212.07667 |