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

摘要

We provide an alternate representation to the result that the Lie algebra of generators of the system ofndifferential equations,(ya)″=0, is isomorphic to the Lie algebraof 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)″=0issl(n+2,ℝ).