On the module structure of free Lie algebras

DOI10.1090/S0002-9947-99-02369-7zbMath1017.17007OpenAlexW1554330484MaRDI QIDQ4699620

Ralph Stöhr, Roger M. Bryant

Publication date: 17 November 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02369-7

zbMATH Keywords

free algebraLie algebracyclic groupmodulehomogeneous componentagumentation ideal

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01)

Related Items

Torsion in free center-by-nilpotent-by-abelian Lie rings of rank 2 ⋮ L. G. KOVÁCS’ WORK ON LIE POWERS ⋮ Subalgebras of free restricted Lie algebras ⋮ Galois groups and group actions on Lie algebras ⋮ Restricted Lazard elimination and modular Lie powers ⋮ Modular Lie powers and the Solomon descent algebra ⋮ On Lie powers of regular modules in characteristic 2. ⋮ Lie powers of free modules for certain groups of prime power order ⋮ Lie powers of free modules for certain groups of prime power order ⋮ Invariant bases for free Lie algebras ⋮ Free Lie algebras and formal power series ⋮ Lie powers of modules for \(\text{GL}(2,p)\).

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