A note on the classification of simple $S{L}_2({\bar{\mathbb{F}}}_p)$-modules admitting $\mathbf{T}$-stable lines in cross characteristic

Junbin Dong

Let $\mathbf{T}$ be the group of diagonal matrices in $S{L}_2({\bar{\mathbb{F}}}_p)$, where $p$ is a prime number. Let $\mathbb{k}$ be an algebraically closed field of characteristic not equal t…