论文标题

类型DN的重复集群类别

Repetitive cluster categories of type Dn

论文作者

Gubitosi, Viviana

论文摘要

在本文中,我们表明类型$ d_n $的重复群集类别,定义为轨道类别$ \ mathcal {d}^b(\ mathrm {modrm {mod} k d_n)/(τ^{ - 1} [1} [1} [1] [1])^p $,等于在标记的punct od punct n od punct n od punct in and and and and and and的类别。这概括了Schiffler的构建,\ cite {s},当$ p = 1 $时,我们会恢复。

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

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