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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-5/

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