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arXiv · 1602.04525

Geometrical aspects of the Lie Algebra S-Expansion Procedure

M. Artebani·R. Caroca·M. C. Ipinza·D. M. Peñafiel·P. Salgado
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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

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M. Artebani, R. Caroca, M. C. Ipinza, D. M. Peñafiel, P. Salgado. 2016-02-14. Geometrical aspects of the Lie Algebra S-Expansion Procedure. https://doi.org/10.1063/1.4941135

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