Auslander–Reiten Orbit Algebras for Self-Injective Nakayama Algebras

DOI10.1142/S1005386705000337zbMath1093.16014OpenAlexW1964924009WikidataQ114072172 ScholiaQ114072172MaRDI QIDQ4680789

Zygmunt Pogorzały

Publication date: 7 June 2005

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

Full work available at URL: https://doi.org/10.1142/s1005386705000337

zbMATH Keywords

Hochschild cohomologyAuslander-Reiten translatesperiodsGalois coveringsNakayama algebrasself-injective algebrasHeller loop-space functorsAuslander-Reiten orbit algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (1)

Twisted support varieties.

Cites Work

• Galois coverings of representation-infinite algebras
• Covering spaces in representation-theory
• Minimal approximations, orbital elementary modules, and orbit algebras of regular modules
• On Galois Coverings of the Enveloping Algebras of Self-Injective Nakayama Algebras
• A new invariant of stable equivalences of Morita type
• Invariance of Hochschild cohomology algebras under stable equivalences of Morita type.

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