On matrix units of semisimple group algebras

DOI10.1080/00927872.2022.2162063OpenAlexW4315498771MaRDI QIDQ5887164

Inneke Van Gelder, Gabriela Olteanu

Publication date: 17 April 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2162063

zbMATH Keywords

group algebrasprimitive idempotentsmatrix units

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite-dimensional division rings (16K20)

Cites Work

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• On idempotents and the number of simple components of semisimple group algebras
• Rational group algebras of finite groups: from idempotents to units of integral group rings.
• Finite group algebras of nilpotent groups: a complete set of orthogonal primitive idempotents.
• Construction of minimal non-abelian left group codes
• Group rings of finite strongly monomial groups: central units and primitive idempotents.
• On Monomial Characters and Central Idempotents of Rational Group Algebras

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