Geometrical aspects of the Lie Algebra S-Expansion Procedure

Understand

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.
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