Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-Rudwig2023-06-202023-06-2020030933-774110.1515/form.2003.017https://hdl.handle.net/20.500.14352/50577A 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 × g2Characteristically nilpotent Lie algebras of type g 1 × − − g 2journal articlehttps//doi.org/10.1515/form.2003.017http://www.degruyter.com/view/j/form.2003.15.issue-2/form.2003.017/form.2003.017.xmlmetadata only access512.554.3Álgebra1201 Álgebra