2012/01/31 by L. Lamberti · 1 citation
Mathematics · #math.CO #math.CT #math.RT
paper · pdf · doi:10.1142/s0219498813500916
arxiv created 2013/01/10 · arxiv updated 2014/12/10
We show that the repetitive higher cluster category of type An, defined as the orbit category Db(mod kAn)/(tau-1[m])p, is equivalent to a category defined on a subset of diagonals in a regular p(nm+1)-gon. This generalizes the construction of Caldero-Chapoton-Schiffler, which we recover when p=m=1, and the work of Baur-Marsh, treating the case p=1, m>1. Our approach also leads to a geometric model of the bounded derived category Db(mod kAn).