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Lie algebras of order F and extensions of the Poincaré algebra

M. Rausch de Traubenberg
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Abstract

F-Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). We give finite dimensional examples of F-Lie algebras obtained by an inductive process from Lie algebras and Lie superalgebras. Matrix realizations of the $F-$Lie algebras constructed in this way from osp(2|m) are given. We obtain a non-trivial extension of the Poincaré algebra by an Inönü-Wigner contraction of a certain $F-$Lie algebras with $F>2$.

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M. Rausch de Traubenberg. 2002-09-18. Lie algebras of order F and extensions of the Poincaré algebra. https://arxiv.org/abs/hep-th/0209144

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