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We prove the existence of an $m$-cluster tilting object in a generalized $m$-cluster category which is $(m+1)$-Calabi-Yau and Hom-finite, arising from an $(m+2)$-Calabi-Yau dg algebra.
D. Happel, On the derived category of a finite-dimensional algebra
1987
Earlier work this paper cites.
B. Keller, Deriving DG categories
1994
Earlier work this paper cites.
Jean-Louis Loday, Cyclic homology
1998
Earlier work this paper cites.
B. Keller, On triangulated orbit categories
2005
Earlier work this paper cites.
A. B. Buan, R. Marsh, M. Reineke, I. Reiten, and G. Todorov, Tilting theory and cluster combinatorics
2006
Earlier work this paper cites.
A. B. Buan, R. Marsh, and I. Reiten, Cluster-tilted algebras of finite representation type
2006
Earlier work this paper cites.
P. Caldero, F. Chapoton, Cluster algebras as Hall algebras of quiver representations
2006
Earlier work this paper cites.
P. Caldero, F. Chapoton, and R. Schiffler, Quivers with relations arising from clusters ( A n A_{n} case)
2006
Earlier work this paper cites.
P. Caldero and B. Keller, From trangulated categories to cluster algebras. II
2006
Cited alongside, same era.
A. B. Buan, R. Marsh, I. Reiten, and G. Todorov, Clusters and seeds in acyclic cluster algebras
2007
Cited alongside, same era.
K. Baur and R. Marsh, A geometric description of m-cluster categories of type D n D_{n}
2007
Cited alongside, same era.
B. Keller and I. Reiten, Cluster tilted algebras are Gorenstein and stably Calabi-Yau
2007
Cited alongside, same era.
H. Thomas, Defining an m-cluster category
2007
Cited alongside, same era.
I. Assem, T. Brüstle, R. Schiffler, G. Todorov, m-cluster categories and m-replicated algebras
2008
Cited alongside, same era.
P. Caldero and B. Keller, From trangulated categories to cluster algebras
2008
Later among the works it cites.
O. Iyama and Y. Yoshino, Mutation in triangulated categories and rigid Cohen-Macaulay modules
2008
Later among the works it cites.
B. Keller, Calabi-Yau triangulated categories
2008
Later among the works it cites.
B. Keller and I. Reiten, Acyclic Calabi-Yau categories
2008
Later among the works it cites.
C. Amiot, Cluster categories for algebras of global dimension 2 and quivers with potential
2009
Later among the works it cites.
Y. Zhou and B. Zhu, Cluster combinatorics of d-cluster categories
2009
Later among the works it cites.
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K. Baur and R. Marsh, A geometric description of m-cluster categories
2008
Cited alongside, same era.
V. Ginzburg, Calabi-Yau algebras
Cited in the paper.
David Hernandez and Bernard Leclerc, Cluster algebras and quantum affine algebras
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B. Keller, Deformed Calabi-Yau completions
Cited in the paper.
I. Reiten, Cluster algebras
2010
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