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On the cluster multiplication theorem for acyclic cluster algebras

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 نشر من قبل Fan Xu
 تاريخ النشر 2008
  مجال البحث
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 تأليف Fan Xu




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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.

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