arXiv Analytics

Sign in

arXiv:0901.1937 [math.RT]AbstractReferencesReviewsResources

Integral bases of cluster algebras and representations of tame quivers

Ming Ding, Jie Xiao, Fan Xu

Published 2009-01-14, updated 2010-05-16Version 2

In \cite{CK2005} and \cite{SZ}, the authors constructed the bases of cluster algebras of finite types and of type $\widetilde{A}_{1,1}$, respectively. In this paper, we will deduce $\mathbb{Z}$-bases for cluster algebras of affine types.

Comments: 28 pages, an improvement of arXiv:0811.3676
Categories: math.RT, math.RA
Subjects: 14M99, 16G20, 16G99, 17B35
Related articles: Most relevant | Search more
arXiv:0711.4098 [math.RT] (Published 2007-11-26)
Cluster algebras and preprojective algebras : the non simply-laced case
arXiv:math/0410187 [math.RT] (Published 2004-10-07, updated 2005-04-26)
Cluster algebras as Hall algebras of quiver representations
arXiv:1012.6014 [math.RT] (Published 2010-12-29)
Tilting theory and cluster algebras

Links

Toolbox