English

Mutation classes of finite type cluster algebras with principal coefficients

Combinatorics 2011-06-30 v1

Abstract

In this paper, we prove Conjecture 4.8 of "Cluster algebras IV" by S. Fomin and A. Zelevinsky, stating that the mutation classes of rectangular matrices associated with cluster algebras of finite type are precisely those classes which are finite.

Keywords

Cite

@article{arxiv.1106.5895,
  title  = {Mutation classes of finite type cluster algebras with principal coefficients},
  author = {Ahmet Seven},
  journal= {arXiv preprint arXiv:1106.5895},
  year   = {2011}
}

Comments

13 pages, 2 figures