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arxiv: 0912.3131 · v1 · submitted 2009-12-16 · 🧮 math.RT

Cluster categories, m-cluster categories and diagonals in polygons

classification 🧮 math.RT
keywords categoriesclusterdiagonalshandpolygonsangulationsarticleconstruct
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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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