3 problems

Let $C$ be a symmetrizable generalized Cartan matrix, let $D$ be a symmetrizer of $C$, and let $H=H(C,D,\Omega)$, $\mathcal{M}=\mathcal{M}(H)$, and $\mathfrak{n}=\mathfrak{n}(C)$ b…

Let $C$ be a symmetrizable generalized Cartan matrix, let $D$ be a symmetrizer of $C$, and let $H=H(C,D,\Omega)$ be the associated algebra for an orientation $\Omega$. Let…

Let $C$ be a symmetrizable Cartan matrix, $D$ a symmetrizer, $\Omega$ an orientation, and $H=H(C,D,\Omega)$. Let $\mathbf{d}$ be a $D$-divisible dimension vector, and write…