On the cluster multiplication theorem for acyclic cluster algebras
Representation Theory
2008-05-12 v2 Rings and Algebras
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.
Cite
@article{arxiv.0711.3255,
title = {On the cluster multiplication theorem for acyclic cluster algebras},
author = {Fan Xu},
journal= {arXiv preprint arXiv:0711.3255},
year = {2008}
}
Comments
23 pages