Characteristic Ideals and the Structure of Lie Algebras

DOI10.2307/2032833zbMath0218.17004OpenAlexW4236630249MaRDI QIDQ5622395

George B. Seligman

Publication date: 1957

Full work available at URL: https://doi.org/10.2307/2032833

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Radical theory (nonassociative rings and algebras) (17A65)

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Lie algebras with nilpotent length greater than that of each of their subalgebras, Calculating the structure of a semisimple Lie algebra, The generalised nilradical of a Lie algebra, Complete Leibniz algebras, Differentiably simple algebras, Models of the octonions and \(G_2\)., Subinvariance in Leibniz algebras, Construction of \(3 \times{} 3\)-matrix Lie algebras and some Lie algebras of type \(D_ 4\), Symplectic modules, On ϕ-ideals and the structure of Lie algebras, On Behavior of Solvable Ideals of Lie Algebras Under Outer Derivations, On infinite root systems, The tame infinitesimal groups of odd characteristic, A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic, On classifying simple Lie algebras of prime characteristic by nilpotent elements, Tensorial extensions of central simple algebras, A theory of linear descent based upon Hopf algebraic techniques

Cites Work

• Beiträge zur Theorie der Gruppen endlicher Ordnung