S expansion of higher-order Lie algebras
R Caroca, N Merino, P Salgado - Journal of mathematical physics, 2009 - pubs.aip.org
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.
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.
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