Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories
Representation Theory
2007-12-29 v3 Rings and Algebras
Abstract
We show that a tilting module over the endomorphism algebra of a cluster-tilting object in a 2-Calabi-Yau triangulated category lifts to a cluster-tilting object in this 2-Calabi-Yau triangulated category. This generalizes a recent work of D. Smith for cluster categories.
Cite
@article{arxiv.0712.2370,
title = {Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories},
author = {Changjian Fu and Pin Liu},
journal= {arXiv preprint arXiv:0712.2370},
year = {2007}
}
Comments
7 pages; typos corrected; reference added; a gap filled