Derived Weil Representation and Relative Langlands Duality
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910077734092800 |
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| author | Fu, Haoshuo |
| author_facet | Fu, Haoshuo |
| contents | The Weil representation is a particularly significant linear representation of the metaplectic group, used in the study of theta correspondence. In this paper, I introduce a derived category version of the Weil representation in the local field case. For the dual pair $ (\mathrm{GL}_n,\mathrm{GL}_m) $, I give a coherent description of this category, in the philosophy of relative Langlands duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26058 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Derived Weil Representation and Relative Langlands Duality Fu, Haoshuo Representation Theory The Weil representation is a particularly significant linear representation of the metaplectic group, used in the study of theta correspondence. In this paper, I introduce a derived category version of the Weil representation in the local field case. For the dual pair $ (\mathrm{GL}_n,\mathrm{GL}_m) $, I give a coherent description of this category, in the philosophy of relative Langlands duality. |
| title | Derived Weil Representation and Relative Langlands Duality |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2603.26058 |