Denote by $\mathbb{F}_q$ a finite field with $q$ elements; let $\mathrm{SL}_n(\mathbb{F}_q)$ be the special linear group.

Finding all real representations of $\mathrm{SL}_n(\mathbb{F}_q)?$

The same question when we are instead of $\mathrm{SL}_n(\mathbb{F}_q)$ by $\mathrm{GL}_n(\mathbb{F}_q)?$