The stable AR-quiver of a quantum complete intersection

preprint2009arXivOpen access

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∞A_{\infty} whenever the algebra is of wild representation type. Moreover, in the tame case, there is one component of tree class A~12\tilde{A}_{12}, whereas all the other are of tree class A∞A_{\infty}.

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