English

Cluster algebras associated with extended Dynkin quivers

Representation Theory 2007-05-23 v1 Combinatorics

Abstract

We show that the mutation class of a finite quiver without oriented cycles is finite if and only is the quiver is either Dynkin, extended Dynkin or has at most two vertices.

Keywords

Cite

@article{arxiv.math/0507113,
  title  = {Cluster algebras associated with extended Dynkin quivers},
  author = {Aslak Bakke Buan and Idun Reiten},
  journal= {arXiv preprint arXiv:math/0507113},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T17:21:44.062Z