Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories
Abstract
Description
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.
7 pages; typos corrected; reference added; a gap filled
7 pages; typos corrected; reference added; a gap filled