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

DOI10.1007/S10468-013-9462-7zbMath1318.20006OpenAlexW4246227809MaRDI QIDQ471772

Shigeto Kawata

Publication date: 17 November 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-013-9462-7

zbMATH Keywords

Auslander-Reiten quiversintegral group ringsheight zero latticesintegral representations of finite groupsvirtually irreducible lattices

Mathematics Subject Classification ID

Group rings (16S34) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10)

Cites Work

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• On Auslander-Reiten components and trivial source lattices for integral group rings.
• On Auslander-Reiten components and Heller lattices for integral group rings.
• Almost-split sequences and group rings
• Duality in G-algebras
• On Auslander-Reiten components and splitting trace lattices for integral group rings.
• A note on Auslander-Reiten quivers for integral group rings
• Erratum to ``On Heller lattices over ramified extended orders.
• On Heller lattices over ramified extended orders.
• Virtually Irreducible Lattices
• An Exponential Property of Lattices Over Group Rings
• Auslander-Reiten components for some Knörr lattices
• The Auslander-Reiten quiver of a finite group
• On exponents and Auslander-Reiten components of irreducible lattices

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