A characteristically nilpotent Lie algebra can be a derived algebra
Abstract: An example is constructed of a Lie algebra whose derived algebra has only nilpotent derivations, thus answering a question of Dixmier and Lister.
J. Dixmier and W. G. Lister, Derivations of nilpotent Lie algebras, Proc. Amer. Math. Soc. 8 (1957), 155-158. MR 18, 659.
G. Leger and S. Tôgô, Characteristically nilpotent Lie algebras, Duke. Math. J. 26 (1959), 623-628. MR 22 #5659.
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