Standard components of a Krull-Schmidt category

DOI10.1090/S0002-9939-2014-12200-3zbMath1341.16017arXiv1208.5032MaRDI QIDQ5496230

Charles Paquette, Shiping Liu

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1208.5032

zbMATH Keywords

finite-dimensional algebrasAuslander-Reiten quiversalmost split sequencesKrull-Schmidt categoriesrepresentations of quiverstilted algebrasstandard components

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items (3)

Preprojective algebras of tree-type quivers ⋮ On a cluster category of type D infinity ⋮ Cluster categories of type \({\mathbb {A}}_\infty ^\infty \) and triangulations of the infinite strip

Cites Work

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• Auslander-Reiten theory in a Krull-Schmidt category
• On the derived category of a finite-dimensional algebra
• Finite dimensional hereditary algebras of wild representation type
• Tilted algebras and generalized standard Auslander-Reiten components
• Tame algebras and integral quadratic forms
• Covering spaces in representation-theory
• Generalized standard Auslander-Reiten components without oriented cycles
• Infinite radicals in standard Auslander-Reiten components
• Generalized standard Auslander-Reiten components
• Coverings of laura algebras: the standard case.
• Tilted Algebras
• Representation theory of strongly locally finite quivers

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