Geodesic
The Approximative Centre of a Lie Algebra
Journal of Lie theory, Tome 12 (2002) no. 1, pp. 205-216
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This paper examines the approximative centre of a Lie algebra; this is the set of elements which are not sent uniformly to infinity by the adjoint action of the underlying Lie group. 
@article{JLT_2002_12_1_JLT_2002_12_1_a9,
     author = {G. Cairns},
     title = {The {Approximative} {Centre} of a {Lie} {Algebra}},
     journal = {Journal of Lie theory},
     pages = {205--216},
     year = {2002},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a9/}
}
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G. Cairns. The Approximative Centre of a Lie Algebra. Journal of Lie theory, Tome 12 (2002) no. 1, pp. 205-216. http://geodesic.mathdoc.fr/item/JLT_2002_12_1_JLT_2002_12_1_a9/