On the socle of an endomorphism algebra.

DOI10.1016/J.JPAA.2011.12.014zbMath1283.16024OpenAlexW2076081184MaRDI QIDQ456815

Gerhard Hiss, Natalie Naehrig, Steffen Koenig

Publication date: 16 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.12.014

zbMATH Keywords

finite dimensional algebrasendomorphism ringsindecomposable direct summandsfinite groupsprojective indecomposable modulesmodular Hecke algebrasfinite dimensional modulessocles of endomorphism algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Representations of associative Artinian rings (16G10)

Uses Software

• GAP

Cites Work

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• Endomorphism rings of permutation modules.
• Brauer morphism between modular Hecke algebras
• Endo-permutation modules over p-groups. II
• The automorphism group of an extraspecial \(p\)-group
• On a Theorem of H. Sawada
• Endo-permutation modules as sources of simple modules
• The Modular Representation Ring of a Cyclic p -Group

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