Geometrical aspects of the Lie Algebra S-Expansion Procedure

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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Cited by in corpus (17)

• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Three-dimensional non-relativistic supergravity and torsion
• Infinite S-Expansion with Ideal Subtraction and Some Applications
• Non-relativistic gravity theories in four spacetime dimensions
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• On a Java library to perform S-expansions of Lie algebras
• A Java library to perform S-expansions of Lie algebras