English

Cluster algebras and symmetrizable matrices

Combinatorics 2018-02-27 v2

Abstract

In this paper, we study combinatorial properties of quasi-Cartan companions defined by the c-vectors of acyclic skew-symmetrizable cluster algebras. In particular, we show that the diagram of any skew-symmetrizable matrix associated with an acyclic cluster algebra has an admissible cut of edges.

Keywords

Cite

@article{arxiv.1701.02518,
  title  = {Cluster algebras and symmetrizable matrices},
  author = {Ahmet Seven},
  journal= {arXiv preprint arXiv:1701.02518},
  year   = {2018}
}

Comments

5 pages. arXiv admin note: text overlap with arXiv:1201.4270

R2 v1 2026-06-22T17:45:48.483Z