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arXiv · 0711.3255

On the cluster multiplication theorem for acyclic cluster algebras

Fan Xu
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Abstract

In \cite{CK2005} and \cite{Hubery2005}, the authors proved the cluster multiplication theorems for finite type and affine type. We generalize their results and prove the cluster multiplication theorem for arbitrary type by using the properties of 2--Calabi--Yau (Auslander--Reiten formula) and high order associativity.

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Fan Xu. 2008-05-12. On the cluster multiplication theorem for acyclic cluster algebras. https://arxiv.org/abs/0711.3255

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