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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.16853 |
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| _version_ | 1866929653310029824 |
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| author | Shi, Fang |
| author_facet | Shi, Fang |
| contents | In this paper, we calculate the periods of Deligne-Lusztig characters $R_{T,χ}^G$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16853 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Periods of Deligne-Lusztig Characters associated to Spherical Varieties Shi, Fang Representation Theory 20C33 (Primary) In this paper, we calculate the periods of Deligne-Lusztig characters $R_{T,χ}^G$ 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. |
| title | Periods of Deligne-Lusztig Characters associated to Spherical Varieties |
| topic | Representation Theory 20C33 (Primary) |
| url | https://arxiv.org/abs/2409.16853 |