Cluster-tilted algebras are Gorenstein and stably Calabi–Yau

Bernhard Keller; Idun Reiten

doi:10.1016/j.aim.2006.07.013

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Cluster-tilted algebras are Gorenstein and stably Calabi–Yau

Bernhard Keller Idun Reiten

Year: 2006 Journal: Advances in Mathematics Vol: 211 (1)Pages: 123-151 Publisher: Elsevier BV

DOI: 10.1016/j.aim.2006.07.013

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Keywords:

Calabi–Yau manifold Mathematics Subcategory Dimension (graph theory) Pure mathematics Endomorphism Duality (order theory) Derived category Simple (philosophy) Global dimension Triangulated category Functor

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Cluster-tilted algebras are Gorenstein and stably Calabi–Yau

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