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arXiv · 1004.5213

S-Expansion of Higher-Order Lie Algebras

Ricardo Caroca·Nelson Merino·Patricio Salgado
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Abstract

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 ($\mathcal{G},[,...,])$ is also a higher-order Lie algebra. From this S-expanded Lie algebra are obtained resonant submultialgebras and reduced multialgebras of a resonant submultialgebra.

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Ricardo Caroca, Nelson Merino, Patricio Salgado. 2010-04-29. S-Expansion of Higher-Order Lie Algebras. https://doi.org/10.1063/1.3036177

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