Geodesic
Finite mutation classes of coloured quivers
Hermund André Torkildsen1
1Department of Mathematical Sciences Norwegian University of Science and Technology 7491 Trondheim, Norway
Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 53-58

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DOI

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.
DOI : 10.4064/cm122-1-5
Keywords: mutation class coloured quiver arising m cluster tilting object associated finite dimensional hereditary algebra finite only finite tame representation type has simples generalizes result known cluster categories

Hermund André Torkildsen  1

1 Department of Mathematical Sciences Norwegian University of Science and Technology 7491 Trondheim, Norway 
Hermund André  Torkildsen. Finite mutation classes of coloured quivers. Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 53-58. doi: 10.4064/cm122-1-5
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