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S-Expansion of Higher-Order Lie Algebras

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arxiv 1004.5213 v1 pith:J2AQNKJU submitted 2010-04-29 math-ph hep-thmath.MP

classification math-phhep-thmath.MP
keywords higher-orderalgebraalgebrasresonants-expansionabelianconstructdirect
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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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  1. On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

    hep-th 2019-08 conditional novelty 6.0 of 10

    New infinite-dimensional superalgebras, the deformed and enlarged super-BMS3 algebras for N=1,2,4, are produced by S-expanding super-Virasoro and are related by a flat limit.

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