In the description of the integral Adams spectral sequence, representations of the following quiver (with relations) arise naturally:

- We have two objects $A, B$,
- we have two arrows $\pi: A \rightarrow B$ and $\delta: B \rightarrow A$ and
- we have a single relation $\delta \circ \pi = 0$.

Does this quiver arise naturally in other contexts? What is known about its representation theory?