Derivations of Lie algebras
Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 3-10
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In this paper we prove a theorem on the expansion into a sum of a derivation of a splittable finite-dimensional Lie algebra over a field of characteristic 0. We investigate the structure of the derivation algebra $D(L)$ of a free nilpotent Lie algebra $L$ and we show that the algebra $D$ ($D(L)$) is perfect.