A Gabriel-type theorem for cluster tilting

DOI10.1112/plms/pdt046zbMath1338.16019arXiv1206.2531OpenAlexW3105367838MaRDI QIDQ5418003

Yuya Mizuno

Publication date: 23 May 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2531

zbMATH Keywords

finite-dimensional algebrasdimension vectorsGabriel theorem\(n\)-representation finite algebras\(n\)-cluster-tilting modulescluster-indecomposable modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Derived categories and associative algebras (16E35)

Related Items (7)

Existence of n-Auslander–Reiten sequences via a finiteness condition ⋮ The role of gentle algebras in higher homological algebra ⋮ Higher zigzag algebras ⋮ Auslander-Gorenstein algebras and precluster tilting ⋮ Maximal \(\tau_d\)-rigid pairs ⋮ \(d\)-representation-finite self-injective algebras ⋮ The existence of n-Auslander–Reiten sequences via determined morphisms

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