The representation-finite symmetric algebras with liftable simple modules

DOI10.1007/BF01268863zbMath0854.16011OpenAlexW2081999711MaRDI QIDQ1924930

Gerhard O. Michler, Øyvind Solberg

Publication date: 20 January 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01268863

zbMATH Keywords

finite groupssimple modulesfinite representation typeindecomposable projective modulessymmetric Artin algebrashearts\(p\)-block algebrasweakly symmetric finite dimensional algebras

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

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• Selfinjective and simply connected algebras
• Liftings and weak liftings of modules
• Indecomposable modules for finite groups
• Algebras and Quadratic Forms
• Symmetrische Algebren vom endlichen Modultyp.
• Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen. I.
• A lifting theorem for modular representations

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