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PURE MATHEMATICS

Lie symmetries of the canonical geodesic equations for six-dimensional nilpotent lie groups

& | (Reviewing editor)
Article: 1781505 | Received 18 Feb 2020, Accepted 07 Jun 2020, Published online: 01 Jul 2020

References

  • Almusawa, H., Ghanam, R., & Thompson, G. (2019a). Symmetries of the canonical geodesic equations of five-dimensional nilpotent lie algebras. Journal of Generalized Lie Theory and Applications, 12(1). https://doi.org/10.4172/1736-4337.1000294
  • Almusawa, H., Ghanam, R., & Thompson, G. (2019b). Classification of symmetry lie algebras of the canonical geodesic equations of five-dimensional solvable lie algebras. Symmetry, 11(11), 1354. https://doi.org/10.3390/sym11111354
  • Arrigo, D. J. (2015). Symmetry analysis of differential equations. Wiley.
  • Cartan, E., & Schouten, J. A. (1926). On the geometry of the group-manifold of simple and semi-simple groups. Proceedings Akademie Wetenschappen Amsterdam, 29, 803–23.
  • Ghanam, R., Miller, E. J., & Thompson, G. (2004). Variationality of four-dimensional Lie group connections. Journal of Lie Theory, 14, 395–425.
  • Ghanam, R., & Thompson, G. (0000a). Symmetry algebras of the canonical Lie group geodesic equations in dimension three. Mathematica Aeterna, 8(1), 37–47.
  • Ghanam, R., & Thompson, G. (0000b). Lie symmetries of the canonical geodesic equations for four-dimensional Lie groups. Mathematica Aeterna, 8(2), 57–70.
  • Ghanam, R., & Thompson, G. (2018). Minimal matrix representations for six-dimensional nilpotent Lie algebras. Mathematica Aeterna, 8(3), 113–138.
  • Helgason, S. (1978). Differential geometry, lie groups and symmetric spaces. Academic Press.
  • Patera, J., Sharp, R. T., Winternitz, P., & Zassenhaus, H. (1976). Invariants of real low dimension Lie algebras. Journal of Mathematical Physics, 17(6), 986–994. https://doi.org/10.1063/1.522992