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Systems of second-order linear ODE’s with constant coefficients and their symmetries Campoamor Stursberg, Otto-Rudwig 517.9 Lie group method Point symmetry Lie algebra Linearization Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias Starting from the study of the symmetries of systems of 4 second-order linear ODEs with constant real coefficients, we determine the dimension and generators of the symmetry algebra for systems of n equations described by a diagonal Jordan canonical form. We further prove that some dimensions between the lower and upper bounds cannot be attained in the diagonal case, and classify the Levi factors of the symmetry algebras. Universidad Complutense de Madrid/Banco de Santander Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T03:34:32Z 2023-06-20T03:34:32Z 2011 journal article https://hdl.handle.net/20.500.14352/43924 1007-5704 eng GR58/4120818-920920 restricted access application/pdf Elsevier