Geodesic
On a Family of Operators and their Lie Algebras
Journal of Lie theory, Tome 12 (2002) no. 2, pp. 503-514
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An infinite family of differential operators is constructed. Each of these operators defines a Lie bracket and the operator is a homomorphism from the new Lie algebra to the standard Lie algebra. An interesting feature of these operators is that they factorize into first order operators with integer coefficients. This generalizes recent results of Zhiber and Sokolov. 
@article{JLT_2002_12_2_JLT_2002_12_2_a11,
     author = {J. A. Sanders and J. P. Wang},
     title = {On a {Family} of {Operators} and their {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {503--514},
     year = {2002},
     volume = {12},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2002_12_2_JLT_2002_12_2_a11/}
}
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J. A. Sanders; J. P. Wang. On a Family of Operators and their Lie Algebras. Journal of Lie theory, Tome 12 (2002) no. 2, pp. 503-514. http://geodesic.mathdoc.fr/item/JLT_2002_12_2_JLT_2002_12_2_a11/