Dimension vector of a quiver representation (source code)

= Dimension vector of a quiver representation
{title2=$\dim X=(\dim_kX_i)_{i\in Q_0}$}

= Dimension vectors of quiver representations
{synonym}

The dimension vector of a finite-dimensional <quiver representation> is $(\dim_kX_i)_{i\in Q_0}$. <Direct sums> add dimension vectors. Fixing the vector gives an <affine space> of possible arrow matrices, the <quiver representation space>.