On a cluster category of type $D_{\infty}$
Representation Theory
2016-04-12 v1
Abstract
We study the canonical orbit category of the bounded derived category of finite dimensional representations of the quiver of type . We prove that this orbit category is a cluster category, that is, its cluster-tilting subcategories form a cluster structure as defined in [\ref{BIRS}].
Cite
@article{arxiv.1604.02764,
title = {On a cluster category of type $D_{\infty}$},
author = {Yichao Yang},
journal= {arXiv preprint arXiv:1604.02764},
year = {2016}
}
Comments
21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1505.06062 by other authors