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arXiv · 0909.5568

The stable AR-quiver of a quantum complete intersection

Petter Andreas Bergh·Karin Erdmann
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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 $A_{\infty}$.

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Petter Andreas Bergh, Karin Erdmann. 2009-09-30. The stable AR-quiver of a quantum complete intersection. https://doi.org/10.1112/blms%2Fbdq081

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