RT Journal Article T1 Characteristically nilpotent Lie algebras of type g 1 × − − g 2 A1 Ancochea Bermúdez, José María A1 Campoamor Stursberg, Otto-Rudwig AB 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 PB WALTER DE GRUYTER SN 0933-7741 YR 2003 FD 2003 LK https://hdl.handle.net/20.500.14352/50577 UL https://hdl.handle.net/20.500.14352/50577 DS Docta Complutense RD 9 abr 2025