On a Theorem of H. Sawada

DOI10.1112/jlms/s2-18.2.247zbMath0403.16009OpenAlexW2057447478MaRDI QIDQ4187939

James A. Green

Publication date: 1978

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-18.2.247

zbMATH Keywords

Quasi-Frobenius Algebra345.20009Largest Semisimple Quotient ModuleRepresentation Module

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Localization and associative Noetherian rings (16P50)

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Embeddings of Hecke algebras in group algebras ⋮ The Steinberg component of a finite group with a split (B,N)-pair ⋮ Representations of finite groups ⋮ On a certain covariant representation functor and irreducible modules of Chevalley groups ⋮ Weights and covers of chamber systems ⋮ Brauer morphism between modular Hecke algebras ⋮ Endomorphism rings of permutation modules. ⋮ Some indecomposable modules of groups with split (B,N)-pairs ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ On the socle of an endomorphism algebra. ⋮ On the modular composition factors of the Steinberg representation ⋮ Bounds on the dimension of \(\mathrm{Ext}\) for finite groups of Lie type ⋮ The Green ring and modular representations of finite groups of Lie type ⋮ Irreducible modules and Levi supplements ⋮ The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group

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