%0 Journal Article
%T Friezes and a construction of the euclidean cluster variables
%A I. Assem
%A G. Dupont
%J Mathematics
%D 2010
%I arXiv
%X Let $Q$ be an euclidean quiver. Using friezes in the sense of Assem-Reutenauer-Smith, we provide an algorithm for computing the (canonical) cluster character associated to any object in the cluster category of $Q$. In particular, this algorithm allows to compute all the cluster variables in the cluster algebra associated to $Q$. It also allows to compute the sum of the Euler characteristics of the quiver grassmannians of any module $M$ over the path algebra of $Q$.
%U http://arxiv.org/abs/1003.0197v1