Poincaré and sl(2) algebras of order 3

Details Poincaré and sl(2) algebras of order 3 Poincaré and sl(2) algebras of order 3

2006-03-02

arxiv.org/abs/math-ph/0603008v2

J.Math.Phys.48:093507,2007

Physics

Mathematical Physics

Title and presentation changed

Scientific paper

10.1063/1.2779956

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 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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