Poincaré and sl(2) algebras of order 3

  title={Poincar{\'e} and sl(2) algebras of order 3},
  author={Michel Goze and Michel Rausch de Traubenberg and Adrian Tanasa},
  journal={Journal of Mathematical Physics},
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 sl(2,C) and iso(1, 3) the Poincare 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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