Kronecker quiver with one arrow
= Kronecker quiver with one arrow
{c}
{title2=$K_1$}
= One-arrow quiver
{synonym}
The <quiver> has two vertices and one arrow. Splitting a representation's kernel, image and complementary target decomposes it into source-only and sink-only simples and copies of the identity $k\to k$. These are its three indecomposables. Fixed-dimension isomorphism classes are <rank orbits of a matrix under left-right multiplication>.