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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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Table of 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.