Cluster Algebras and Semi-invariant Rings II. Projections

Jiarui Fei

Let ${\mathrm{SI}}_{\beta }(Q)$ be the semi-invariant ring of $\beta$-dimensional representations of a quiver $Q$. Suppose that $(Q,\beta )$ projects to another quiver with dimension vector $(Q^{\prime },{\beta }^{\prime })$ t…