4 problems

Let $Q$ be a quiver without oriented cycles, and let a root of $Q$ mean a root of its associated quadratic form. An indecomposable tree module is an indecomposable representation w…

Let $M:=F_\lambda(V_T)$ be a generalised tree module. Suppose that $T_1$ is a subtree of $T$ of one of the forms … or … and that $\mathcal G$ is a generalised graph map satisfying…

Cellular tree normal form conjecture. The root $\alpha$ admits a cellular tree normal form, with $c_i$ cells of dimension $i$.

Kinser's tree-module conjecture. There are sufficiently many tree modules that each cell in the setting of Kac's cellular decomposition conjecture contains a tree module.