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The aim of this paper is to introduce tau-tilting theory, which completes (classical) tilting theory from the viewpoint of mutation.
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D. Happel and L. Unger, On a partial order of tilting modules
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2006
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C. Amiot, Cluster categories for algebras of global dimension 2 and quiver with potential
2009
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C. Fu and P. Liu, Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories
2009
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C. Ingalls and H. Thomas, Noncrossing partitions and representations of quivers
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H. Derksen, J. Weyman and A. Zelevinsky, Quivers with potentials and their representations II: Applications to cluster algebras
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A. Buan, O. Iyama, I. Reiten and D. Smith, Mutation of cluster-tilting objects and potentials
2011
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A. B. Buan, I. Reiten, H. Thomas, Three kinds of mutation
2011
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Y. Zhou and B. Zhu, Maximal rigid subcategories in 2-Calabi-Yau triangulated categories
2011
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T. Aihara, O. Iyama, Silting mutation in triangulated categories , J. Lond. Math. Soc. 85 (2012), no. 3, 633–668
2012
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