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Cluster algebras associated with extended Dynkin quivers

Aslak Bakke Buan·Idun Reiten
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Abstract

We show that the mutation class of a finite quiver without oriented cycles is finite if and only is the quiver is either Dynkin, extended Dynkin or has at most two vertices.

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Aslak Bakke Buan, Idun Reiten. 2005-07-06. Cluster algebras associated with extended Dynkin quivers. https://arxiv.org/abs/math/0507113

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