Suppose we have an algebraic group over an algebraic closed field of prime characteristic, we may think of a subgroup of $GL_n(\bar{\mathbb{F}}_q)$ (where $\bar{\mathbb{F}}_q$ is the algebraic closure of the field with $q$ elements).

My question is what can be said, or exists any reference for the $\mathbb{C}$-representations of that group, this is the $\mathbb{C}$-vector spaces (finite or infinite dimensional) equiped with an linear action of the group.

Suppose we have an algebraic group over an algebraic closed field of prime characteristic, for example we may think of a subgroup of $GL_n(\bar{\mathbb{F}}_q)$ (where $\bar{\mathbb{F}}_q$ is the algebraic closure of the field with $q$ elements) (that is the case I'm interested).

My question is what can be said, or exists any reference for the $\mathbb{C}$-representations of that group, this is the $\mathbb{C}$-vector spaces (finite or infinite dimensional) equiped with an linear action of the group.