A geometric realization of the $m$-cluster categories of type $\tilde{D_n}$
Representation Theory
2021-10-01 v5 Category Theory
Abstract
We show that a subcategory of the -cluster category of type is isomorphic to a category consisting of arcs in an -gon with two central -gons inside of it. We show that the mutation of colored quivers and -cluster-tilting objects is compatible with the flip of an -angulation. In the final part of this paper, we detail an example of a quiver of type .
Keywords
Cite
@article{arxiv.1706.06778,
title = {A geometric realization of the $m$-cluster categories of type $\tilde{D_n}$},
author = {Lucie Jacquet-Malo},
journal= {arXiv preprint arXiv:1706.06778},
year = {2021}
}