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

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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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