On Commutators in a Simple Lie Algebra

DOI10.2307/2034990zbMath0135.07304OpenAlexW4232906878MaRDI QIDQ5507689

Gordon Brown

Publication date: 1963

Full work available at URL: https://doi.org/10.2307/2034990

zbMATH Keywords

rings, modules, fields

Related Items (13)

Word equations in simple groups and polynomial equations in simple algebras. ⋮ Remarks concerning sums of three squares and quaternion commutator identities ⋮ Instability of nondiscrete free subgroups in Lie groups ⋮ Homomorphisms on infinite direct product algebras, especially Lie algebras ⋮ On the images of Lie polynomials evaluated on Lie algebras ⋮ Commutators in Semi-Simple Algebraic Groups ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ Equations in simple Lie algebras ⋮ Linear maps on \(k^{I}\), and homomorphic images of infinite direct product algebras ⋮ Commutators in classical Lie algebras ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ On regular Lie algebras ⋮ Image of Lie polynomial of degree 2 evaluated on nilpotent Lie algebra

Cites Work

• Unnamed Item
• On matrices of trace zero
• Automorphisms of classical Lie algebras

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