The associated graded algebras of Brauer graph algebras I: finite representation type

DOI10.1080/00927872.2020.1827261zbMath1467.16011OpenAlexW3112681353MaRDI QIDQ5856280

Yuming Liu, Jing Guo

Publication date: 25 March 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1827261

zbMATH Keywords

finite representation typeAuslander-Reiten quiverBrauer graph algebragraded algebra associated with radical filtrationgraded degrees of vertices in a Brauer graph

Mathematics Subject Classification ID

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) Representations of associative Artinian rings (16G10)

Cites Work

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• Stable categories and reconstruction
• Graded Brauer tree algebras.
• Blocks of tame representation type and related algebras
• The Ext algebra of a Brauer graph algebra
• Simple-minded systems, configurations and mutations for representation-finite self-injective algebras
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Brauer Graph Algebras

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