English

A note on the spectral properties of cluster algebras

Representation Theory 2010-11-29 v1

Abstract

Let QQ be a finite quiver without oriented cycles and kk an algebraically closed field.In this paper we establish a connection between cluster algebras and the representation theory of the path algebra kQkQ, in terms of the spectral properties of the quivers mutation equivalent to QQ.

Keywords

Cite

@article{arxiv.1011.5520,
  title  = {A note on the spectral properties of cluster algebras},
  author = {Elsa Fernández and María Inés Platzeck},
  journal= {arXiv preprint arXiv:1011.5520},
  year   = {2010}
}