Another Representation for the Maximal Lie Algebra of sl(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 of n differential equations, (y~(a))" velence 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 (y~(a))" velence 0 is sl(n + 2, R).