Finite mutation classes of coloured quivers
Tom 122 / 2011
Colloquium Mathematicum 122 (2011), 53-58 MSC: 16G20, 16G60, 05E10. DOI: 10.4064/cm122-1-5
We show that the mutation class of a coloured quiver arising from an $m$-cluster tilting object associated with a finite-dimensional hereditary algebra $H$, is finite if and only if $H$ is of finite or tame representation type, or it has at most two simples. This generalizes a result known for cluster categories.