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For a finite dimensional hereditary algebra, we consider: exceptional sequences in the category of finite dimensional modules, silting objects in the bounded derived category, and m-cluster tilting objects in the m-cluster category.
K. Bongartz, Tilted algebras , Representations of algebras (Puebla, 1980), pp. 26–38, Lecture Notes in Math., 903, Springer, Berlin-New York, 1981
1981
Earlier work this paper cites.
D. Happel and C. M. Ringel, Tilted algebras , Trans. Amer. Math. Soc. 274 (1982), no. 2, 399–443
1982
Earlier work this paper cites.
D. Happel, Triangulated categories in the representation theory of finite-dimensional algebras , London Mathematical Society Lecture Note Series, 119. Cambridge University Press, Cambridge, 1988. x+208 pp. ISBN: 0-521-33922-7
1988
Earlier work this paper cites.
B. Keller and D. Vossieck, Aisles in derived categories , Bull. Soc. Math. Belg. Ser. A 40 (1988), no. 2, 239–253
1988
Earlier work this paper cites.
C. Riedtmann and A. Schofield, On open orbits and their complements , J. Algebra 130 (1990), no. 2, 388–411
1990
Earlier work this paper cites.
A. Rudakov, Exceptional collections, mutations and helices. Helices and vector bundles , 1–6, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990
1990
Cited alongside, same era.
W. Crawley-Boevey, Exceptional sequences of representations of quivers , Representations of algebras (Ottawa, ON, 1992), 117–124, CMS Conf. Proc., 14, Amer. Math. Soc., Providence, RI, 1993
1993
Cited alongside, same era.
C. M. Ringel, The braid group action on the set of exceptional sequences of a hereditary Artin algebra , Abelian group theory and related topics (Oberwolfach, 1993), 339–352, Contemp. Math., 171, Amer. Math. Soc., Providence, RI, 1994
1994
Cited alongside, same era.
B. Keller, On triangulated orbit categories , Doc. Math. 10 (2005), 551–581
2005
Cited alongside, same era.
A. B. Buan, R. J. Marsh, M. Reineke, I. Reiten and G. Todorov, Tilting theory and cluster combinatorics , Advances in Mathematics 204
H. Thomas, Defining an m m -cluster category , J. Algebra 318 (2007), no. 1, 37–46
2007
Later among the works it cites.
I. Assem, M.J. Souto Salorio and S. Trepode, Ext-projectives in suspended subcategories , Journal of pure and applied algebra 212
2008
Later among the works it cites.
B. Zhu, Generalized cluster complexes via quiver representations , J. Algebraic Combin. 27 (2008), no. 1, 35–54
2008
Later among the works it cites.
A. Wraalsen, Rigid objects in higher cluster categories , J. Algebra 321 (2009), no. 2, 532–547
2009
Later among the works it cites.
Y. Zhou and B. Zhu, Cluster combinatorics of d d -cluster categories , J. Algebra 321 (2009), no. 10, 2898–2915
2009
Later among the works it cites.
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2006
Cited alongside, same era.