A converse theorem for quasi-split even special orthogonal groups over finite fields
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917904037969920 |
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| author | Hazeltine, Alexander |
| author_facet | Hazeltine, Alexander |
| contents | We prove a converse theorem for the case of quasi-split non-split even special orthogonal groups over finite fields. There are two main difficulties which arise from the outer automorphism and non-split part of the torus. The outer automorphism is handled similarly to the split case, while new ideas are developed to overcome the non-split part of the torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A converse theorem for quasi-split even special orthogonal groups over finite fields Hazeltine, Alexander Representation Theory Number Theory 20C33, 20G40 We prove a converse theorem for the case of quasi-split non-split even special orthogonal groups over finite fields. There are two main difficulties which arise from the outer automorphism and non-split part of the torus. The outer automorphism is handled similarly to the split case, while new ideas are developed to overcome the non-split part of the torus. |
| title | A converse theorem for quasi-split even special orthogonal groups over finite fields |
| topic | Representation Theory Number Theory 20C33, 20G40 |
| url | https://arxiv.org/abs/2501.16338 |