Rationality of extended unipotent characters
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909107585286144 |
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| author | Dudas, Olivier Malle, Gunter |
| author_facet | Dudas, Olivier Malle, Gunter |
| contents | We determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map. In the proof we use realisations of characters in $\ell$-adic cohomology groups of Deligne--Lusztig varieties as well as block theoretic considerations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09960 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rationality of extended unipotent characters Dudas, Olivier Malle, Gunter Representation Theory Group Theory 20C08, 20C15, 20C33 We determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map. In the proof we use realisations of characters in $\ell$-adic cohomology groups of Deligne--Lusztig varieties as well as block theoretic considerations. |
| title | Rationality of extended unipotent characters |
| topic | Representation Theory Group Theory 20C08, 20C15, 20C33 |
| url | https://arxiv.org/abs/2402.09960 |