English

Repetitive cluster categories of type Dn

Representation Theory 2020-08-28 v2 Rings and Algebras

Abstract

In this paper, we show that the repetitive cluster category of type DnD_n, defined as the orbit category Db(modKDn)/(τ1[1])p\mathcal{D}^b(\mathrm{mod}K D_n)/(\tau^{-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, \cite{S}, which we recover when p=1p=1.

Cite

@article{arxiv.2005.05047,
  title  = {Repetitive cluster categories of type Dn},
  author = {Viviana Gubitosi},
  journal= {arXiv preprint arXiv:2005.05047},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T15:27:14.975Z