A local converse theorem for quasi-split even special orthogonal groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912206775386112 |
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| author | Hazeltine, Alexander |
| author_facet | Hazeltine, Alexander |
| contents | We give a direct proof of the local converse theorem for quasi-split non-split $\mathrm{SO}_{2l}$ over a local non-Archimedean field of characteristic $p\neq 2$, applying the theory of Howe vectors and partial Bessel functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16339 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A local converse theorem for quasi-split even special orthogonal groups Hazeltine, Alexander Representation Theory Number Theory Primary 11F70, 22E50, Secondary 11F85 We give a direct proof of the local converse theorem for quasi-split non-split $\mathrm{SO}_{2l}$ over a local non-Archimedean field of characteristic $p\neq 2$, applying the theory of Howe vectors and partial Bessel functions. |
| title | A local converse theorem for quasi-split even special orthogonal groups |
| topic | Representation Theory Number Theory Primary 11F70, 22E50, Secondary 11F85 |
| url | https://arxiv.org/abs/2501.16339 |