A New Family of Solvable Self-Dual Lie Algebras

Abstract

A family of solvable self-dual Lie algebras is presented. There exist a few methods for the construction of non-reductive self-dual Lie algebras: an orthogonal direct product, a double-extension of an Abelian algebra, and a Wigner contraction. It is shown that the presented algebras cannot be obtained by these methods.

LaTeX, 12 pages

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Cited by in corpus (4)

• Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras
• Lie algebras admitting symmetric, invariant and nondegenerate bilinear forms
• Lie algebras with ad-invariant metrics. A survey
• On a type of commutative algebras