Repetitive cluster categories of type Dn

DOI10.1007/S40863-021-00222-7arXiv2005.05047WikidataQ121619324 ScholiaQ121619324MaRDI QIDQ6340443

Publication date: 8 May 2020

Abstract: In this paper, we show that the repetitive cluster category of type

D_{n}

, defined as the orbit category

m a t h c a l D^{b} (m a t h r m m o d K D_{n}) / (a u^{- 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 = 1

.

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60) Derived categories, triangulated categories (18G80)

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