Cluster categories, m-cluster categories and diagonals in polygons

Karin Baur (1)

1 ETH Department of Mathematics

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.

Mots clés: Cluster category; m-cluster category; diagonals; translation quiver

Domaines: Théorie des représentations [math.RT]

Karin Baur. Cluster categories, m-cluster categories and diagonals in polygons. 2008. ⟨hal-00441488⟩