Denot $\mathbb{F}_q$ be a finite field with $q$ elements; $SL_n(\mathbb{F}_q)$ be the special linear group.
Finding all real representation of $SL_n(\mathbb{F}_q)?$
The same question when we are instead of $SL_n(\mathbb{F}_q)$ by $SL_n(\mathbb{F}_q)?$