The stable AR-quiver of a quantum complete intersection

Details The stable AR-quiver of a quantum complete intersection The stable AR-quiver of a quantum complete intersection

2009-09-30

arxiv.org/abs/0909.5568v1

Mathematics

Representation Theory

11 pages

Scientific paper

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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