English

Finite mutation classes of coloured quivers

Representation Theory 2010-01-11 v1

Abstract

We consider the general notion of coloured quiver mutation and show that the mutation class of a coloured quiver QQ, arising from an mm-cluster tilting object associated with HH, is finite if and only if HH is of finite or tame representation type, or it has at most 2 simples. This generalizes a result known for 1-cluster categories.

Keywords

Cite

@article{arxiv.1001.1280,
  title  = {Finite mutation classes of coloured quivers},
  author = {Hermund André Torkildsen},
  journal= {arXiv preprint arXiv:1001.1280},
  year   = {2010}
}
R2 v1 2026-06-21T14:32:22.926Z