Lifting polynomial representations of ${\mathrm{SL}}_2(p^r)$ from ${\mathbb{F}}_p$ to $\mathbb{Z}/p^s\mathbb{Z}$

Chris Parker, Martin van Beek

We describe all of the irreducible polynomial ${\mathbb{F}}_p{\mathrm{SL}}_2(p^r)$ representations which lift to $(\mathbb{Z}/p^s\mathbb{Z}){\mathrm{SL}}_2(p^r)$ representations for $s>1…