Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories

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Fu, Changjian
Liu, Pin
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Abstract
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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.
Comment: 7 pages; typos corrected; reference added; a gap filled
Keywords
Mathematics - Representation Theory, Mathematics - Rings and Algebras, 18E30, 16D90
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