%0 Journal Article
%A Ancochea Bermúdez, José María
%A Campoamor Stursberg, Otto-Rudwig
%T Characteristically nilpotent Lie algebras of type g 1 × − −  g 2
%D 2003
%@ 0933-7741
%U https://hdl.handle.net/20.500.14352/50577
%X A finite-dimensional complex Lie algebra g is characteristically nilpotent if its Lie algebra Derk(g) of derivations is nilpotent. Given two finite-dimensional nilpotent Lie algebras g1, g2, the authors construct a non-split central extension g1 × g2 of g1 g2 by a space of dimension (dim g1/[g1, g1])(dim g2/[g2, g2]). The main result of the paper provides a sufficient condition for the characteristic nilpotence of g1 × g2
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