Another representation for the maximal lie Algebra of s l (n + 2, ℝ ) in Terms of Operators

We provide an alternate representation to the result that the Lie algebra of generators of the system of n differential equations, (y ^a) = 0, is isomorphic to the Lie algebra of the special linear group of order (n + 2), over the real numbers, s l (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 (y^a) = 0 is s l (n + 2, ℝ ).