THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS

DOI10.1142/S021949881100535XzbMath1284.16013arXiv1009.1032OpenAlexW2964036153MaRDI QIDQ5389521

Grzegorz Bobiński, Aslak Bakke Buan

Publication date: 21 April 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1032

zbMATH Keywords

finite-dimensional algebrasderived equivalencesgentle algebrascluster tilted algebrasBrenner-Butler tilting modules

Mathematics Subject Classification ID

Related Items (10)

Hochschild cohomology: some applications in representation theory of algebras ⋮ Derived equivalence classification of the gentle two-cycle algebras ⋮ Algebras from surfaces without punctures ⋮ Exceptional cycles for perfect complexes over gentle algebras ⋮ m-cluster tilted algebras of type ⋮ Derived class of m-cluster tilted algebras of type 𝔸̃ ⋮ Derived equivalence of surface algebras in genus 0 via graded equivalence. ⋮ Hochschild cohomology and the derived class of \(m\)-cluster tilted algebras of type \(\mathbb A\). ⋮ A Course on Cluster Tilted Algebras ⋮ Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃

Cites Work

• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• Gentle algebras arising from surface triangulations.
• Stable endomorphism algebras of modules over special biserial algebras.
• Combinatorial derived invariants for gentle algebras.
• Tilting theory and cluster combinatorics.
• Cluster-tilted algebras
• Generalized tilted algebras of type a_n
• Cluster-tilted algebras as trivial extensions

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