The stable AR-quiver of a quantum complete intersection
arXiv:0909.5568 · doi:10.1112/blms/bdq081
Abstract
We completely describe the tree classes of the components of the stable Auslander-Reiten quiver of a quantum complete intersection. In particular, we show that the tree class is always $A_{\infty}$ whenever the algebra is of wild representation type. Moreover, in the tame case, there is one component of tree class $\tilde{A}_{12}$, whereas all the other are of tree class $A_{\infty}$.
11 pages