%0 Journal Article %T Simple completable contractions of nilpotent Lie algebras %A Rutwig Campoamor-Stursberg %J Mathematics %D 2001 %I arXiv %X We study a certain class of non-maximal rank contractions of the nilpotent Lie algebra $\frak{g}_{m}$ and show that these contractions are completable Lie algebras. As a consequence a family of solvable complete Lie algebras of non-maximal rank is given in arbitrary dimension. %U http://arxiv.org/abs/math/0108151v1