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.
Journal of Mathematical Physics
- Pub Date:
- September 2007
- Lie algebras of Lie groups;
- Mathematical Physics;
- High Energy Physics - Theory;
- Title and presentation changed