Finite mutation classes of coloured quivers

Hermund André Torkildsen. "Finite mutation classes of coloured quivers." Colloquium Mathematicae 122.1 (2011): 53-58. <http://eudml.org/doc/283637>.

@article{HermundAndréTorkildsen2011,
abstract = {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.},
author = {Hermund André Torkildsen},
journal = {Colloquium Mathematicae},
keywords = {finite-dimensional hereditary algebras; coloured quiver mutations; mutation classes; coloured quivers; cluster tilting algebras; representation types; cluster categories},
language = {eng},
number = {1},
pages = {53-58},
title = {Finite mutation classes of coloured quivers},
url = {http://eudml.org/doc/283637},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Hermund André Torkildsen
TI - Finite mutation classes of coloured quivers
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 1
SP - 53
EP - 58
AB - 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.
LA - eng
KW - finite-dimensional hereditary algebras; coloured quiver mutations; mutation classes; coloured quivers; cluster tilting algebras; representation types; cluster categories
UR - http://eudml.org/doc/283637
ER -