Counting Quiver Representations over Finite Fields Via Graph Enumeration

Geir T. Helleloid, Fernando Rodriguez Villegas

Let $\Gamma$ be a quiver on n vertices $v_1,v_2,...,v_n$ with $g_{ij}$ edges between $v_i$ and $v_j$, and let $\alpha \in {\mathbb{N}}^n$. Hua gave a formula for $A_{\Gamma }(\alpha ,q)$, the number of isomorphi…