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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.13951 |
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| _version_ | 1866918161834573824 |
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| author | Deligne, P. Lusztig, G. |
| author_facet | Deligne, P. Lusztig, G. |
| contents | Consider a Chevalley group over a finite field $F_q$ such that the longest element of the Weyl group is central. We construct an involution $ξ\mapstoξ^!$ of the set of unipotent representations of this group such that the degree polynomial of a unipotent representation $ξ$ is obtained up to sign from the degree polynomial of $ξ^!$ by changing $q$ to $-q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unipotent representations: changing q to -q Deligne, P. Lusztig, G. Representation Theory Consider a Chevalley group over a finite field $F_q$ such that the longest element of the Weyl group is central. We construct an involution $ξ\mapstoξ^!$ of the set of unipotent representations of this group such that the degree polynomial of a unipotent representation $ξ$ is obtained up to sign from the degree polynomial of $ξ^!$ by changing $q$ to $-q$. |
| title | Unipotent representations: changing q to -q |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2508.13951 |