dimension vector

《Introduction to Representation Theory》 · 印刷第 163 页 Section 6.5，Definition 6.5.1

Let $Q$ be a quiver with any labeling $1,\ldots,n$ of the vertices. Let $V=(V_1,\ldots,V_n)$ be a representation of $Q$. We then call $d(V)=(\dim V_1,\ldots,\dim V_n)$ the dimension vector of this representation.