Mathematics – Representation Theory
Scientific paper
2007-12-14
Mathematics
Representation Theory
7 pages; typos corrected; reference added; a gap filled
Scientific paper
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.
Fu Changjian
Liu Pin
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