Concepedia

Cluster-tilted algebras are Gorenstein and stably Calabi–Yau

Bernhard Keller, Idun Reiten

Advances in Mathematics · 2006 · 344 citations · 31 references

DOI

Concepts

References

31

Cluster algebras I: Foundations

Sergey Fomin, Andrei Zelevinsky · Journal of the American Mathematical Society · 2001 · 1.7K citations · Full text

, , +8

Tilting theory and cluster combinatorics

Aslak Bakke Buan, Bethany Marsh, Markus Reineke et al. · Advances in Mathematics · 2005 · 944 citations

, , +10

Applications of contravariantly finite subcategories

Maurice Auslander, Idun Reiten · Advances in Mathematics · 1991 · 688 citations

, , +4

Cluster algebras II: Finite type classification

2003 · 584 citations

, , +9

Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky · Duke Mathematical Journal · 2005 · 581 citations

, , +13