On simple modules in the Auslander-Reiten components of finite groups

DOI10.1007/s002099900112zbMath0957.20003OpenAlexW1975473773MaRDI QIDQ1574463

Katsuhiro Uno, Shigeto Kawata, Gerhard O. Michler

Publication date: 20 March 2001

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002099900112

zbMATH Keywords

group algebrasconnected componentsfinite groupssimple modulesfinite groups of Lie typeprincipal blockswild blocksstable Auslander-Reiten quiverstubesrank varietiesperiodic modules

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

Support varieties, AR-components, and good filtrations. ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ A characterization of selfinjective algebras of strictly canonical type.

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