English

On the c-vectors of an acyclic cluster algebra

Representation Theory 2012-12-11 v3

Abstract

We prove that the set of c-vectors of the cluster algebra associated to an acyclic quiver Q coincides with the set of real Schur roots and their opposites in the root system associated to Q.

Keywords

Cite

@article{arxiv.1203.1415,
  title  = {On the c-vectors of an acyclic cluster algebra},
  author = {Alfredo Nájera Chávez},
  journal= {arXiv preprint arXiv:1203.1415},
  year   = {2012}
}