Semidirect sums of Lie algebras
Matematičeskie zametki, Tome 18 (1975) no. 1, pp. 31-40
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This paper examines the problem of classifying finite-dimensional Lie algebras over the field $C$ with a given radical $\mathfrak{r}$ and also the problem of classifying algebraic Lie algebras with a given nilpotent radical $\mathfrak{r}$. A detailed study is made of the case when $\mathfrak{r}$ is the nilpotent radical of a parabolic subalgebra of a semisimple Lie algebra.