3 problems

Let $A$ and $B$ be the ordinary and degenerated decorated preprojective algebras, respectively, equipped with their path-length gradings. Assume that the degeneration is flat in pa…

Let $(Q,D_Q)$ be a decorated quiver, with vertex algebras and arrow bimodules obtained through flat Frobenius degenerations of decorations of an ordinary quiver. Let $\Pi_k(Q,D_Q)$…

Let $(Q,D_Q)$ be a decorated quiver whose decorations arise by a flat degeneration from decorations of an ordinary quiver. Let $P_k(Q,D_Q)$ and $\Pi_k(Q,D_Q)$ denote the correspond…