Relative homology, higher cluster-tilting theory and categorified Auslander–Iyama correspondence

References

Page 1

	Year	Citations
Cluster algebras I: Foundations Sergey Fomin, Andrei Zelevinsky Journal of the American Mathematical Society Cluster AlgebraAbstract AlgebraAlgebraic StructureRepresentation TheoryDual Canonical Bases	2001	1.7K
Stable module theory Maurice Auslander, Mark Bridger Memoirs of the American Mathematical Society K-torsion FreenessStable Module TheoryModule TheoryRepresentation TheoryModern Algebra	1969	1K
Tilting theory and cluster combinatorics Aslak Bakke Buan, Bethany Marsh, Markus Reineke, Advances in Mathematics Cluster AlgebraCombinatorial DesignCluster CombinatoricsCombinatorial Design TheoryDiscrete Mathematics	2005	919
Applications of contravariantly finite subcategories Maurice Auslander, Idun Reiten Advances in Mathematics Automated ReasoningHigher Category TheoryFinite SubcategoriesCategorical LogicCategorical Model	1991	678
Direct products of modules Stephen U. Chase Transactions of the American Mathematical Society Abstract AlgebraRepresentation TheoryRing TheoryCommutative AlgebraModule Design	1960	570
Cluster algebras II: Finite type classification Inventiones mathematicae Cluster AlgebraRepresentation TheoryModern AlgebraFinite Type ClassificationKnowledge Discovery	2003	520
On triangulated orbit categories Bernhard Keller ArXiv.org Cluster AlgebraRepresentation TheoryTriangulated Orbit CategoriesHigher Category TheoryTriangulated Categories	2005	494
Triangulated categories of singularities and D-branes in Landau-Ginzburg models Dmitri Olegovich Orlov arXiv (Cornell University) Schubert CalculusM-theoryAlgebraic VarietiesHigher Category TheoryPhysics Terms	2003	413
Almost split sequences in subcategories Maurice Auslander, Sverre O. Smalø Journal of Algebra PhylogeneticsData MiningNatural SciencesSequence AnalysisKnowledge Discovery	1981	397
Homological and homotopical aspects of torsion theories Apostolos Beligiannis, Idun Reiten Memoirs of the American Mathematical Society Knot TheoryHigher Category TheoryTorsion TheoriesStable CategoriesTorsion Pairs	2007	393

Page 1