I am an undergrad student who wants to know about the representation theory over
arbitrary finite fields or finite rings of characteristic p (p a prime). (called modular
representation theory.)
In particular, I would like to study the representation theory of modular Heisenberg groups
(entries in a finite field)over finite rings. I will start with the homomorphisms from
this Heisenberg groups to the ring of integers and the finite ring of integers.
Actually, I mean that does it make sense "over finite ring".
If it does, I would like to know good references and brief explanations.