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Poincaré and sl(2) algebras of order 3

M. Goze·M. Rausch de Traubenberg·A. Tanasa
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Abstract

In this paper we initiate a general classification for Lie algebras of order 3 and we give all Lie algebras of order 3 based on $\mathfrak{sl}(2,\mathbb C)$ and $\mathfrak{iso}(1,3)$ the Poincaré algebra in four-dimensions. We then set the basis of the theory of the deformations (in the Gerstenhaber sense) and contractions for Lie algebras of order 3.

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M. Goze, M. Rausch de Traubenberg, A. Tanasa. 2007-10-29. Poincaré and sl(2) algebras of order 3. https://doi.org/10.1063/1.2779956

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