Characteristic-free approaches around Yu's construction
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913090715516928 |
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| author | Takaya, Yuta |
| author_facet | Takaya, Yuta |
| contents | We give a direct characteristic-free construction of twisted Heisenberg-Weil representations when there are no symmetric and ramified roots. As a consequence, we show that twisted Yu's construction naturally extends to residual characteristic $2$. Moreover, we give a geometric realization of such twisted Heisenberg-Weil representations via the Deligne-Lusztig construction for Heisenberg group schemes. As an application, we give an explicit description of positive-depth parahoric Deligne-Lusztig induction in the generic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03638 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characteristic-free approaches around Yu's construction Takaya, Yuta Representation Theory Algebraic Geometry Number Theory We give a direct characteristic-free construction of twisted Heisenberg-Weil representations when there are no symmetric and ramified roots. As a consequence, we show that twisted Yu's construction naturally extends to residual characteristic $2$. Moreover, we give a geometric realization of such twisted Heisenberg-Weil representations via the Deligne-Lusztig construction for Heisenberg group schemes. As an application, we give an explicit description of positive-depth parahoric Deligne-Lusztig induction in the generic case. |
| title | Characteristic-free approaches around Yu's construction |
| topic | Representation Theory Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2605.03638 |