Counting ${\mathbb{F}}_q$-points of orbital varieties in ad-nilpotent ideals of type $A_n$

Mohammad Bardestani, Keivan Mallahi-Karai, Samrith Ram +1

Let ${\mathfrak{b}}_n({\mathbb{F}}_q)$ denote the Lie algebra of upper triangular $n\times n$ matrices over the finite field ${\mathbb{F}}_q$, and let ${\mathfrak{u}}_n({\mathbb{F}}_q)$ be the ni…