Finite mutation classes of coloured quivers

Details Finite mutation classes of coloured quivers Finite mutation classes of coloured quivers

2010-01-08

arxiv.org/abs/1001.1280v1

Mathematics

Representation Theory

Scientific paper

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

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