On Lie powers of regular modules in characteristic 2.

zbMath1162.20300MaRDI QIDQ2504929

Ralph Stöhr, L. G. Kovács

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108647

zbMATH Keywords

decompositionsdirect summandsfree Lie algebrasKlein four groupLie powersindecomposablesKrull-Schmidt multiplicitiesregular modules of finite groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Identities, free Lie (super)algebras (17B01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

L. G. KOVÁCS’ WORK ON LIE POWERS ⋮ On Lie powers of the augmentation ideal in characteristic \(2\) ⋮ Bases, filtrations and module decompositions of free Lie algebras

Cites Work

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• Invariant bases for free Lie algebras
• Lie powers of modules for \(\text{GL}(2,p)\).
• Fixed points of automorphisms of free Lie algebras
• Restricted Lazard elimination and modular Lie powers
• Invariant Bases for Free Lie Rings
• Lie Powers of Modules for Groups of Prime Order
• On the module structure of free Lie algebras
• Certain representation algebras
• Lie powers of free modules for certain groups of prime power order

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