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arXiv · 2409.16853

Periods of Deligne-Lusztig Characters associated to Spherical Varieties

Fang Shi
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Abstract

In this paper, we calculate the periods of Deligne-Lusztig characters $R_{T,\chi}^G$ associated to $X^F$, where $X=G/H$ for a connected spherical subgroup $H$ of $G$. As an application, we deduce a formula that partially generalizes Lusztig's work on symmetric spaces and extends Reeder's formula in the complexity $0$ case.

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Fang Shi. 2024-09-25. Periods of Deligne-Lusztig Characters associated to Spherical Varieties. https://arxiv.org/abs/2409.16853

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