Embedding of the vertices of the Auslander-Reiten quiver of an iterated tilted algebra of Dynkin type \(\Delta\) in \(\mathbb{Z}\Delta\).

DOI10.1016/S0021-8693(03)00161-3zbMath1070.16019OpenAlexW2037224441MaRDI QIDQ1398177

Octavio Mendoza Hernández, María Inés Platzeck

Publication date: 29 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00161-3

zbMATH Keywords

iterated tilted algebrasAuslander-Reiten quiversDynkin diagramstranslation quiversrepetitive algebrasbounded derived categoriesstable categoriestrivial extensions

Mathematics Subject Classification ID

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

Related Items

Configurations of trivial extensions of Dynkin type \({\mathbf A}_n\).

Cites Work

• Configurations of \(ZD_ n\).
• The universal cover of a quiver with relations
• Representation-finite trivial extension algebras
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Selfinjective and simply connected algebras
• Covering spaces in representation-theory
• The derived equivalence classification of representation-finite selfinjective algebras
• Universal Galois coverings of self-injective algebras by repetitive algebras and Hochschild cohomology
• Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner
• Trivial Extensions of Tilted Algebras
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