On the cluster multiplication theorem for acyclic cluster algebras

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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.
23 pages

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Representation Theory, Rings and Algebras, 16G20; 16G70; 14M99; 18E30

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http://salesiana.dossiersoluciones.com/handle/123456789/160625

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3255
 http://arxiv.org/abs/0711.3255

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arXiv