The duality of Auslander-Reiten quiver of path algebras

DOI10.21136/CMJ.2019.0541-17OpenAlexW2917095238WikidataQ128348579 ScholiaQ128348579MaRDI QIDQ5206447

Shilin Yang, Bo Hou

Publication date: 18 December 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2019.0541-17

zbMATH Keywords

dualityAuslander-Reiten quivergeneralized McKay quiver

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)

Cites Work

• The dual quiver of the Auslander-Reiten quiver of path algebras.
• Skew group algebras of deformed preprojective algebras.
• Skew group algebras in the representation theory of Artin algebras
• Representations of skew group algebras induced from isomorphically invariant modules over path algebras.
• On the McKay quivers and \(m\)-Cartan matrices.
• Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
• Skew group algebras of path algebras and preprojective algebras.
• QUIVER REPRESENTATIONS RESPECTING A QUIVER AUTOMORPHISM: A GENERALISATION OF A THEOREM OF KAC
• GENERALIZED MCKAY QUIVERS, ROOT SYSTEM AND KAC-MOODY ALGEBRAS
• Frobenius morphisms and representations of algebras
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