Repetitive cluster categories of type Dn

2020/05/08 by Viviana Gubitosi, Gubitosi, Viviana
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.2005.05047

arXiv admin note: substantial text overlap with arXiv:1201.1767, arXiv:math/0608264 by other authors

arxiv created 2020/08/26 · arxiv updated 2020/08/28

Abstract

In this paper, we show that the repetitive cluster category of type D_n, defined as the orbit category D^b(modK D_n)/(τ^-1[1])^p, is equivalent to a category defined on a subset of tagged edges in a regular punctured polygon. This generalizes the construction of Schiffler, \citeS, which we recover when p=1.

Citations

• Repetitive higher cluster categories of type A_n
• A geometric model for cluster categories of type D_n

Related

• Repetitive higher cluster categories of type A_n
• A geometric model for cluster categories of type D_n
• Grothendieck groups of repetitive cluster categories
• Continuous cluster categories of type D
• Defining an m-cluster category