**Author(s): ** Tooba Feroze |

Asghar Qadir**Journal: ** Differential Equations and Nonlinear Mechanics ISSN 1687-4099

**Volume: ** 2009;

**Date: ** 2009;

Original page**ABSTRACT**

We provide an alternate representation to the result that the Lie algebra of generators of the system of n differential equations, (ya)″=0, is isomorphic to the Lie algebra of the special linear group of order (n+2), over the real numbers, sl(n+2,ℝ). In this paper, we provide an alternate representation of the symmetry algebra by simple relabelling of indices. This provides one more proof of the result that the symmetry algebra of (ya)″=0 is sl(n+2,ℝ).

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