Constructing vector-valued automorphic forms on unitary groups
Fuente:
arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910261686829056 |
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| author | Browning, Thomas L. Čoupek, Pavel Eischen, Ellen Frechette, Claire Hong, Serin Lee, Si Ying Marcil, David |
| author_facet | Browning, Thomas L. Čoupek, Pavel Eischen, Ellen Frechette, Claire Hong, Serin Lee, Si Ying Marcil, David |
| contents | We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cléry and van der Geer in the setting of Siegel modular forms, but it also requires overcoming challenges that do not arise in the Siegel setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05198 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructing vector-valued automorphic forms on unitary groups Browning, Thomas L. Čoupek, Pavel Eischen, Ellen Frechette, Claire Hong, Serin Lee, Si Ying Marcil, David Number Theory We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cléry and van der Geer in the setting of Siegel modular forms, but it also requires overcoming challenges that do not arise in the Siegel setting. |
| title | Constructing vector-valued automorphic forms on unitary groups |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.05198 |