A geometric model for cluster categories of type D_n

2006/08/10 by Ralf Schiffler, Schiffler, Ralf · 5 citations
Mathematics · #05E15 #16G20 #16G70 #18E30 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:05E15 #msc:16G20 #msc:16G70 #msc:18E30

paper · pdf · doi:10.48550/arxiv.math/0608264

20 pages (v3: section 5.3 amended, some other editorial changes and typos fixed)

arxiv created 2006/08/30 · arxiv updated 2009/12/01

Abstract

We give a geometric realization of cluster categories of type D_n using a polygon with n vertices and one puncture in its center as a model. In this realization, the indecomposable objects of the cluster category correspond to certain homotopy classes of paths between two vertices.

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