REFERENCES
- Assem , I. , Brüstle , T. , Schiffler , R. ( 2010 ). Cluster-tilted algebras without clusters , J. Algebra 324 ( 9 ): 2475 – 2502 .
- Assem , I. , Dupont , G. , Schiffler , R. ( 2014 ). On a category of cluster algebras . J. Pure Appl. Algebra 218 ( 3 ): 553 – 582 .
- Assem , I. , Schiffler , R. , Shramchenko , V. ( 2012 ). Cluster automorphisms . Proc. Lond. Math. Soc. (3) 104 : 1271 – 1302 .
- Assem , I. , Simson , D. , Skowroński , A. ( 2006 ). Elements of the Representation Theory of Associative Algebras . Vol. 1. Techniques of representation theory. London Mathematical Society Student Texts 65 . Cambridge : Cambridge University Press .
- Auslander , M. , Reiten , I. , Smalø , S. O. ( 1997 ). Representation Theory of Artin Algebras . Corrected reprint of the 1995 original. Cambridge Studies in Advanced Mathematics . Vol. 36 . Cambridge : Cambridge University Press .
- Bongartz , K. , Gabriel , P. ( 1981/82 ). Covering spaces in representation-theory . Invent. Math. 65 ( 3 ): 331 – 378 .
- Buan , A. B. , Marsh , R. J. , Reineke , M. Reiten , I., Todorov , G. ( 2006 ). Tilting theory and cluster combinatorics . Adv. Math. 204 : 572 – 618 .
- Buan , A. B. , Marsh , R. J. , Reiten , I. , Todorov , G. (2007). Clusters and seeds in acyclic cluster algebras, With an appendix co-authored in addition by P. Caldero and B. Keller. Proc. Amer. Math. Soc. 135(10):3049–3060.
- Caldero , P. , Chapoton , F. ( 2006 ). Cluster algebras as Hall algebras of quiver representations . Comment. Math. Helv. 81 : 595 – 616 .
- Caldero , P. , Keller , B. ( 2006 ). From triangulated categories to cluster algebras. II . Ann. Sci. École Norm. Sup. (4) 39 ( 6 ): 983 – 1009 .
- Caldero , P. , Keller , B. ( 2008 ). From triangulated categories to cluster algebras . Invent. Math. 172 : 169 – 211 .
- Chaio , C. , Platzeck , M. I. , Trepode , S. ( 2004 ). On the degree of irreducible morphisms . J. Algebra 281 ( 1 ): 200 – 224 .
- Fomin , S. , Zelevinsky , A. ( 2002 ). Cluster algebras I: Foundations . J. Amer. Math. Soc. 15 : 497 – 529 .
- Fomin , S. , Zelevinsky , A. ( 2003 ). Cluster algebras II: Finite type classification . Invent. Math. 154 : 63 – 121 .
- Gekhtman , M. , Shapiro , M. , Vainshtein , A. ( 2008 ). On the properties of the exchange graph of a cluster algebra . Math. Res. Lett. 15 ( 2 ): 321 – 330 .
- Happel , D. ( 1988 ). Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras . London Mathematical Society Lecture Note Series . Vol. 119 . Cambridge : Cambridge University Press .
- Derksen , H. , Weyman , J. ( 2002 ). Generalized quivers associated to reductive groups . Colloquium Math. 94 ( 2 ): 151 – 173 .
- Keller , B. ( 2005 ). On triangulated orbit categories . Doc. Math. 10 : 551 – 581 .
- Keller , B. , Reiten , I. ( 2008 ). Acyclic Calabi-Yau categories . Compos. Math. 144 ( 5 ): 1332 – 1348 .
- Lusztig , S. ( 1990 ). Canonical bases arising from quantized enveloping algebras . J. Amer. Math. Soc. 3 ( 2 ): 447 – 498 .
- Communicated by D. Zacharia.