An Erdős-Ko-Rado result for some principal series representations

Jiaqi Liao, Guiying Yan

Let $V$ be an irreducible principal series representation of ${\mathrm{GL}}_2(q)$ satisfying certain conditions. Two subsets $S_1,S_2\subseteq {\mathrm{GL}}_2(q)$ are called cross-$t…