On the cluster multiplication theorem for acyclic cluster algebras

Details On the cluster multiplication theorem for acyclic cluster algebras On the cluster multiplication theorem for acyclic cluster algebras

2007-11-21

arxiv.org/abs/0711.3255v2

Mathematics

Representation Theory

23 pages

Scientific paper

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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