3 problems

Let $Q$ be a quiver whose vertex set $Q_0$ has at most one incoming and one outgoing arrow at each vertex. Let $(\mathbf{i},\mathbf{a},\mu(\bullet))$ be a triple such that…

Consider the quiver Kostka–Shoji polynomials $\mathcal{K}_{{\lambda^\bullet},\mu^\bullet}^{\mathbf{i},\mathbf{a}}(t_{Q_1})$ and specialize every arrow parameter to a single paramet…

Let $Q$ be the quiver under consideration, let $(\mathbf{i},\mathbf{a})$ be the associated data, and let $\mu(\bullet)$ be a weight whose concatenated weight $\mu^{(i)}$ is weakly…