On tensor products and almost split sequences for Scott lattices over group rings

DOI10.1016/j.jalgebra.2022.02.008OpenAlexW4214823318MaRDI QIDQ2118933

Shigeto Kawata

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.02.008

zbMATH Keywords

almost split sequencesrepresentations of finite groupsScott lattices

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) (p)-adic representations of finite groups (20C11) Modular representations and characters (20C20)

Cites Work

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• Almost-split sequences and group rings
• Nilpotent elements in the Green ring
• Virtually Irreducible Lattices
• An Exponential Property of Lattices Over Group Rings
• The construction of almost split sequences for integral group rings and orders
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
• On relative projectivity of lattices in Auslander-Reiten components for group rings

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