By means of a generalization of the S-expansion method we construct a procedure to obtain expanded higher-order Lie algebras. It is shown that the direct product between an Abelian semigroup S and a higher-order Lie algebra (G,[,...,]) is also a higher-order Lie algebra. From this S-expanded Lie algebra are obtained resonant submultialgebras and reduced multialgebras of a resonant submultialgebra.
@article{arxiv.1004.5213,
title = {S-Expansion of Higher-Order Lie Algebras},
author = {Ricardo Caroca and Nelson Merino and Patricio Salgado},
journal= {arXiv preprint arXiv:1004.5213},
year = {2015}
}