On Auslander-Reiten components and splitting trace lattices for integral group rings.

DOI10.1016/j.jalgebra.2012.03.012zbMath1264.16019OpenAlexW2019009109MaRDI QIDQ1758258

Shigeto Kawata

Publication date: 8 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.03.012

zbMATH Keywords

Auslander-Reiten quiversverticesintegral group ringstree classesrepresentations of finite groupsrepresentation-infinite blockssplitting trace lattices

Mathematics Subject Classification ID

Group rings (16S34) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

On Auslander-Reiten components and height zero lattices for integral group rings.

Cites Work

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• On Auslander-Reiten components and Heller lattices for integral group rings.
• Almost-split sequences and group rings
• Nilpotent elements in the Green ring
• On Auslander-Reiten components for certain group modules
• Construction of Auslander-Reiten quivers for a class of group rings
• On Auslander-Reiten components for group algebras
• On Heller lattices over ramified extended orders.
• An Exponential Property of Lattices Over Group Rings
• The construction of almost split sequences for integral group rings and orders
• The Auslander-Reiten quiver of a finite group

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