A New Family of Solvable Self-Dual Lie Algebras

Details A New Family of Solvable Self-Dual Lie Algebras A New Family of Solvable Self-Dual Lie Algebras

1997-09-04

arxiv.org/abs/physics/9709009v1

J.Math.Phys. 38 (1997) 3832-3840

Physics

Mathematical Physics

LaTeX, 12 pages

Scientific paper

10.1063/1.532069

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.

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