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arXiv · 2505.09797

Distinguished Representations with respect to Symmetric Subgroups of $GL_{n}(\mathbb{F}_{q})$

Guy Kapon
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Abstract

We study representations of $GL_{n}(\mathbb{F}_{q})$ that are distinguished with respect to a symmetric subgroup $H=GL_{n}(\mathbb{F}_{q})^{\sigma}$, where $\sigma$ is an involution. We prove that those representations satisfy $\pi \cong \pi ^{*,\sigma}$, thus positively answering a version of the Prasad-Lapid conjecture.

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BibTeXRIS

Guy Kapon. 2025-05-14. Distinguished Representations with respect to Symmetric Subgroups of $GL_{n}(\mathbb{F}_{q})$. https://arxiv.org/abs/2505.09797

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