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arXiv 2010-01-08 0 views

Finite mutation classes of coloured quivers

Torkildsen, Hermund André

Original · EN

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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