Poincaré and sl(2) algebras of order 3
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 ) and 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 September 2007
 DOI:
 10.1063/1.2779956
 arXiv:
 arXiv:mathph/0603008
 Bibcode:
 2007JMP....48i3507G
 Keywords:

 02.20.Sv;
 Lie algebras of Lie groups;
 Mathematical Physics;
 High Energy Physics  Theory;
 17A40;
 17A42;
 17A70;
 17B81
 EPrint:
 Title and presentation changed