I'm trying to calculate the semi-invariant ring for certain types of quivers. For a very brief introduction to semi-invariant rings of quiver please have a look at this wikipedia article at the following link
I'm having trouble trying to understand the structure of the semi-invariant ring for the type of quiver I'm interested in. So, I have a very vague question which is-
What are some other "closely related rings or algebraic objects" that I can calculate that would give me some useful idea about the original semi-invariant ring? Maybe some kind of resolution? Or, maybe some other ring that surjects onto the semi-invariant ring?