Another Representation for the Maximal Lie Algebra of sl(n+2,ℝ)‎ in Terms of Operators

الملخص EN

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).