Cluster categories, m-cluster categories and diagonals in polygons

Mathematics – Representation Theory

Scientific paper

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Scientific paper

The goals of this expository article are on one hand to describe how to
construct ($m$-) cluster categories from triangulations (resp. from
$m+2$-angulations) of polygons. On the other hand, we explain how to use
translation quivers and their powers to obtain the $m$-cluster categories
directly from the diagonals of a polygon.

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