On ${\mathfrak{sl}}_2$-triples for classical algebraic groups in positive characteristic

Simon M. Goodwin, Rachel Pengelly

Let $k$ be an algebraically closed field of characteristic $p>2$, let $n\in {\mathbb{Z}}_{>0}$, and take $G$ to be one of the classical algebraic groups ${\mathrm{GL}}_n(k)$, $\mathr…