Geometrical aspects of the Lie Algebra S-Expansion Procedure
Mathematical Physics
2016-03-23 v1 math.MP
Abstract
In this article it is shown that S-Expansion procedure affects the geometry of a Lie group, changing it an leading us to the geometry of another Lie group with higher dimensionality. Is outlined, via an example, a method for determining the semigroup, which would provide a Lie algebra from another. Finally, it is proved that the Lie algebra obtained from another Lie algebra via S-Expansion is a non-simple Lie algebra. I
Keywords
Cite
@article{arxiv.1602.04525,
title = {Geometrical aspects of the Lie Algebra S-Expansion Procedure},
author = {M. Artebani and R. Caroca and M. C. Ipinza and D. M. Peñafiel and P. Salgado},
journal= {arXiv preprint arXiv:1602.04525},
year = {2016}
}