%0 Journal Article
%A Campoamor Stursberg, Otto-Rudwig
%T Systems of second-order linear ODE’s with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices.
%D 2012
%@ 1007-5704
%U https://hdl.handle.net/20.500.14352/43748
%X We complete the analysis of the symmetry algebra L for systems of n second-order linear ODEs with constant real coefficients, by studying the case of coefficient matrices having a non-diagonal Jordan canonical form. We also classify the Levi factor (maximal semisimple subalgebra) of L, showing that it is completely determined by the Jordan form. A universal formula for the dimension of the symmetry algebra of such systems is given. As application,the case n = 5 is analyzed.
%~