Campoamor-Stursberg, Rutwig2023-06-202023-06-202005J. M. Ancochea, M. Goze. Le rang du systeme lineaire des racines d’une algebre de Lie resoluble complexe. Comm. Algebra 20 (1992), 875-887. J. M. Ancochea, R. Campoamor. On Lie algebras whose nilradical is (n-p)-filiform. Comm. Algebra 29 (2001), 427-450. J. M. Ancochea, R. Campoamor. On certain families of naturally graded Lie algebras. J. Pure Appl. Algebra, to appear. J. M. Ancochea, R. Campoamor. Nonfiliform characteristically nilpotent and complete Lie algebras. Algebra. Colloq., to appear. D. Burde. Degenerations of nilpotent Lie algebras. J. Lie Theory 9 (1999),193-202. G. Favre Systeme des poids sur une alg`ebre de Lie nilpotente. Manuscripta Math.9 (1973), 53-90. A. Fialowski, J. O’Halloran. A comparison of deformations and orbit closure. Comm. Algebra (18) (1990), 4121-4140. G. F. Leger. Derivations of Lie algebras III. Duke Math. J. 30 (1963), 637-645. D. J. Meng, L. S. Zhu. Solvable complete Lie algebras I. Comm. Algebra 24 (1996), 4181-4197. D. J. Meng, L. S. Zhu. Solvable complete Lie algebras II. Algebra Colloq. 5 (1998), 289-296. D. J. Meng. Complete Lie algebras and Heisenberg Lie algebras. Comm. Algebra 22 (1994), 5509-5524. D. J. Meng. The complete Lie algebras with abelian nilpotent radical. Acta Math. Sinica 34 (1991), 191-202. E. J. Saletan. Contractions of Lie groups. J. Math. Phys. 2 (1961), 1-21. C. Seeley. Degenerations of central quotients. Arch. Math. 56 (1991), 236-241.1072-337410.1007/s10958-005-0258-0https://hdl.handle.net/20.500.14352/50694We study a certain class of non-maximal rank contractions of the nilpotent Lie algebra gm 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.engjournal articlehttp://link.springer.com/article/10.1007%2Fs10958-005-0258-0http://www.springer.com/open access512Contractioncomplete Lie algebraÁlgebra1201 Álgebra