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Poincar\'e and sl(2) algebras of order 3

Mathematical Physics 2009-03-19 v2 High Energy Physics - Theory math.MP

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 sl(2,C)\mathfrak{sl}(2,\mathbb C) and iso(1,3)\mathfrak{iso}(1,3) the Poincar\'e 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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Cite

@article{arxiv.math-ph/0603008,
  title  = {Poincar\'e and sl(2) algebras of order 3},
  author = {M. Goze and M. Rausch de Traubenberg and A. Tanasa},
  journal= {arXiv preprint arXiv:math-ph/0603008},
  year   = {2009}
}

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