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arXiv · 2610.38472

EKR Results for Cuspidal Representations of $\mathrm{GL}_2(q)$

Jiaqi Liao
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Abstract

Let $\mathcal{S}_χ$ be a cuspidal representation of $\mathrm{GL}_2(q)$. A subset $S \subseteq \mathrm{GL}_2(q)$ is \emph{$t$-intersecting} if $\dim_{\mathbb{C}}\{v \in \mathcal{S}_χ: g_1v = g_2v\} \geqslant t$ for any $g_1, g_2 \in S$. In this paper, we determine $\max{|S|}$ where $S$ is $t$-intersecting.

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Jiaqi Liao. 2026-10-28. EKR Results for Cuspidal Representations of $\mathrm{GL}_2(q)$. https://arxiv.org/abs/2610.38472

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