Level Up Your Game Dev Journey

Quivers: Rethinking a Year of Linear Algebra as Graphs

Nikita Lisitsa introduces quivers—directed multigraphs—and shows how assigning vector spaces to vertices and linear maps to edges turns standard linear algebra into representation theory. Simple quivers recover familiar topics like bases, Gaussian elimination, and Jordan blocks, now seen as decompositions into indecomposable representations. Slightly richer graphs lead to Kronecker canonical form used in control theory, and finally to “wild” quivers who...