The image of Lie polynomials on real Lie algebras of dimension up to 3

DOI10.1016/J.JALGEBRA.2024.07.006MaRDI QIDQ6612168

Lucio Centrone, Şehmus Fındık

Publication date: 30 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasimages of polynomials

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• On the images of Lie polynomials evaluated on Lie algebras
• On matrices of trace zero
• On the exponential theorem for a simply transitive continuous group, and the calculation of the finite equations from the constants of structure.
• The images of multilinear polynomials on strictly upper triangular matrices
• On Fagundes-Mello conjecture
• Images of graded polynomials on matrix algebras
• Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields
• The images of non-commutative polynomials evaluated on 2×2 matrices
• The images of multilinear polynomials evaluated on $3\times 3$ matrices
• The images of Lie polynomials evaluated on matrices
• Evaluations of multilinear polynomials on low rank Jordan algebras
• The images of multilinear non-associative polynomials evaluated on a rock-paper-scissors algebra with unit over an arbitrary field
• The images of noncommutative polynomials evaluated on the quaternion algebra
• The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field
• Image of Lie polynomial of degree 2 evaluated on nilpotent Lie algebra
• Einige Sätze über Matrizen.
• The image of polynomials and Waring type problems on upper triangular matrix algebras

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