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arXiv · 2605.03638

Characteristic-free approaches around Yu's construction

Yuta Takaya
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Abstract

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.

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Yuta Takaya. 2026-05-05. Characteristic-free approaches around Yu's construction. https://arxiv.org/abs/2605.03638

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