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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.09797 |
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| _version_ | 1866908364286459904 |
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| author | Kapon, Guy |
| author_facet | Kapon, Guy |
| contents | We study representations of $GL_{n}(\mathbb{F}_{q})$ that are distinguished with respect to a symmetric subgroup $H=GL_{n}(\mathbb{F}_{q})^σ$, where $σ$ is an involution. We prove that those representations satisfy $π\cong π^{*,σ}$, thus positively answering a version of the Prasad-Lapid conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09797 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distinguished Representations with respect to Symmetric Subgroups of $GL_{n}(\mathbb{F}_{q})$ Kapon, Guy Representation Theory We study representations of $GL_{n}(\mathbb{F}_{q})$ that are distinguished with respect to a symmetric subgroup $H=GL_{n}(\mathbb{F}_{q})^σ$, where $σ$ is an involution. We prove that those representations satisfy $π\cong π^{*,σ}$, thus positively answering a version of the Prasad-Lapid conjecture. |
| title | Distinguished Representations with respect to Symmetric Subgroups of $GL_{n}(\mathbb{F}_{q})$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2505.09797 |