Quivers with Relations for Symmetrizable Cartan Matrices II: Change of Symmetrizers
Quivers with Relations for Symmetrizable Cartan Matrices II: Change of Symmetrizers
For $k \ge 1$ we consider the $K$-algebra $H(k) := H(C,kD,\Omega)$ associated to a symmetrizable Cartan matrix $C$, a symmetrizer $D$, and an orientation $\Omega$ of $C$, which was defined in Part 1. We construct and analyse a reduction functor from rep$(H(k))$ to rep$(H(k-1))$. As a consequence we show that …