Mutation classes of \(\widetilde A_n\)-quivers and derived equivalence classification of cluster tilted algebras of type \(\widetilde A_n\).

DOI10.2140/ant.2011.5.567zbMath1263.16019arXiv0901.1515OpenAlexW2951843638MaRDI QIDQ435250

Janine Bastian

Publication date: 11 July 2012

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1515

zbMATH Keywords

derived equivalencestilting complexesgentle algebrascluster tilted algebrasquiver mutations

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Localization of categories, calculus of fractions (18E35) Derived categories and associative algebras (16E35)

Related Items (17)

Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra ⋮ Hochschild cohomology: some applications in representation theory of algebras ⋮ Derived equivalence classification of the gentle two-cycle algebras ⋮ Minimal length maximal green sequences ⋮ Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type \(D\). ⋮ ASYMPTOTIC TRIANGULATIONS AND COXETER TRANSFORMATIONS OF THE ANNULUS ⋮ Infinitesimal semi‐invariant pictures and co‐amalgamation ⋮ Cluster algebras generated by projective cluster variables ⋮ Cluster algebras and semipositive symmetrizable matrices ⋮ Minimal length maximal Green sequences ⋮ Derived class of m-cluster tilted algebras of type 𝔸̃ ⋮ On mutations of selfinjective quivers with potential. ⋮ Hochschild cohomology and the derived class of \(m\)-cluster tilted algebras of type \(\mathbb A\). ⋮ A Course on Cluster Tilted Algebras ⋮ Algebras of acyclic cluster type: Tree type and typeà ⋮ The Auslander–Reiten components of $\mathcal{K}^b({\rm proj}\, \Lambda)$ for a cluster-tilted algebra of type à ⋮ The singularity categories of the cluster-tilted algebras of Dynkin type.

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