On the Fixed Points of a Finite Group Acting on a Free Lie Algebra

DOI10.1112/jlms/s2-43.2.215zbMath0685.20004OpenAlexW2082405551WikidataQ115256696 ScholiaQ115256696MaRDI QIDQ4735322

Roger M. Bryant

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-43.2.215

zbMATH Keywords

free Lie algebrafinite groupactionrelation modulehomogeneous componentWitt's formulafaithful finite dimensional G-modulefree kG-submodules

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Associated Lie structures for groups (20F40)

Related Items (13)

Fixed points of \(IA\)-endomorphisms of a free metabelian Lie algebra ⋮ Symmetric polynomials in Leibniz algebras and their inner automorphisms ⋮ Symmetric polynomials in the free metabelian Lie algebras ⋮ Symmetric polynomials in free center-by-metabelian Lie algebras of rank 2 ⋮ On invariants of modular free Lie algebras ⋮ Invariants of universal enveloping algebras of relatively free Lie algebras ⋮ Unnamed Item ⋮ Classical invariant theory for free metabelian Lie algebras ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. ⋮ Free Lie algebras and formal power series ⋮ Symmetric polynomials of algebras related with 2 × 2 generic traceless matrices ⋮ Automorphisms of Borcherds superalgebras and fixed point subalgebras ⋮ Symmetric polynomials in the free metabelian Poisson algebras

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