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

Tooba Feroze and Asghar Qadir

International Journal of Differential Equations, 2009, vol. 2009, 1-3

Abstract:

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 ) .

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:152698

DOI: 10.1155/2009/152698

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