On cluster algebras with coefficients and 2-Calabi-Yau categories

by same author, Cluster algebras, quiver representations and triangulated categories , arXive:0807.1960

1960

Earlier work this paper cites.

Daniel Quillen, Higher algebraic K {K} -theory. I , Algebraic K K -theory, I: Higher K K -theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), Lecture Notes in Math., vol. 341, Springer verlag, 1973, pp. 85–147

1973

Earlier work this paper cites.

Dieter Happel, On the derived category of a finite-dimensional algebra , Comment. Math. Helv. 62

1987

Earlier work this paper cites.

P. Gabriel and A.V. Roiter, Representations of finite-dimensional algebras , Encyclopaedia Math. Sci., vol. 73, Springer–Verlag, 1992

1992

Earlier work this paper cites.

Sergey Fomin and Andrei Zelevinsky, Cluster algebras. I. Foundations , J. Amer. Math. Soc. 15

2002

Earlier work this paper cites.

by same author, Cluster algebras. II. Finite type classification , Invent. Math. 154

2003

Earlier work this paper cites.

Michael Gekhtman, Michael Shapiro, and Alek Vainshtein, Cluster algebras and Poisson geometry , Mosc. Math. J. 3

2003

Earlier work this paper cites.

Robert Marsh, Markus Reineke, and Andrei Zelevinsky, Generalized associahedra via quiver representations , Trans. Amer. Math. Soc. 355

2003

Earlier work this paper cites.

Arkady Berenstein, Sergey Fomin, and Andrei Zelevinsky, Cluster algebras. III. Upper bounds and double Bruhat cells , Duke Math. J. 126

2005

Earlier work this paper cites.

by same author, Semicanonical bases and preprojective algebras , Ann. Sci. École Norm. Sup. (4) 38

2005

Earlier work this paper cites.

by same author, Cluster algebras and Weil-Petersson forms , Duke Math. J. 127

2005

Cited alongside, same era.

Aslak Bakke Buan and Robert Marsh, Cluster-tilting theory , Trends in representation theory of algebras and related topics, Contemp. Math., vol. 406, Amer. Math. Soc., Providence, RI, 2006, pp. 1–30

2006

Cited alongside, same era.

Aslak Bakke Buan, Robert J. Marsh, Markus Reineke, Idun Reiten, and Gordana Todorov, Tilting theory and cluster combinatorics , Advances in Mathematics 204 (2)

2006

Cited alongside, same era.

Philippe Caldero and Frédéric Chapoton, Cluster algebras as Hall algebras of quiver representations , Comment. Math. Helv. 81

2006

Cited alongside, same era.

Philippe Caldero and Bernhard Keller, From triangulated categories to cluster algebras. II , Ann. Sci. École Norm. Sup. (4) 39

2006

Cited alongside, same era.

Bernhard Keller, Categorification of acyclic cluster algebras: an introduction , to appear in the proceedings of the conference ‘Higher structures in Geometry and Physics 2007’, Birkhäuser

2007

Closest in time.

by same author, Triangulated Calabi-Yau categories , to appear in the proceedings of the workshop of the ICRA 12, Toruń, August 2007, available at the author’s homepage

2007

Closest in time.

by same author, Cluster-tilted algebras are Gorenstein and stably Calabi-Yau , Advances in Mathematics 211

2007

Closest in time.

Claus Michael Ringel, Some remarks concerning tilting modules and tilted algebras. Origin. Relevance. Future. , Handbook of Tilting Theory, LMS Lecture Note Series, vol. 332, Cambridge Univ. Press, Cambridge, 2007, pp. 49–104

2007

Closest in time.

Philippe Caldero and Bernhard Keller, From triangulated categories to cluster algebras , Inv. Math. 172