Ancochea Bermúdez, José MaríaCampoamor-Stursberg, Rutwig2023-06-202023-06-202002-05-08J.M. Ancochea, M. Goze, Sur la classification des algèbres de Lie nilpotentes de dimension 7, C.R.A.S. 302 (1986) 611–613. O.R. Campoamor, Álgebras de Lie característicamente nilpotentes, Ph.D. Thesis Madrid, 2000. C.Y. Chao, Some characterisations of nilpotent Lie algebras, Math. Z. 103 (1968) 40–42. S. Eilenberg, Extensions of general algebras, Ann. Soc. Polon. Math. 21 (1948) 125–134. M. Goze, Modèles d’algèbres de Lie, C.R.A.S. 293 (1981) 813–815. M. Goze, Yu.B. Khakimdjanov, Nilpotent Lie Algebras, Kluwer Academic Press, Dordrecht, 1996. N. Jacobson, Lie Algebras, Academic Press, New York, 1962. I.L. Kantor, Graded Lie algebras, Trudy Sem. Vect. Anal. 15 (1970) 227–266. J.P. Serre, Algèbres de Lie Semisimples Complexes, Benjamin, New York, 1966. M. Vergne, Variètè des algèbres de Lie nilpotentes, These 3eme cycle, Paris, 1966. M. Vergne, Cohomologie des algèbres de Lie nilpotentes. Applications a l’étude de la variètè des algèbres de Lie nilpotentes, Bull. Soc. Math. France 98 (1970) 81–116. G. Vranceanu, Leçons de Géométrie différentielle, Vol. 4, Bucarest, 1975. B.Ju. Weisfeiler, Infinite dimensional filtered Lie algebras and their connection with graded Lie algebras, Funct. Anal. Appl. 2 (1968) 88–89.0022-4049http://dx.doi.org./10.1016/S0022-4049(01)00085-8https://hdl.handle.net/20.500.14352/58406In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n; q; 1) with n ≡ 1(mod 2) satisfying the centralizer property are given. This centralizer property constitutes a generalization, for any nilpotent algebra, of the structural properties characterizing the Lie algebra Qn. By considering certain cohomological classes of the space H2(g;C), it is shown that, with few exceptions, the isomorphism classes of these algebras are given by central extensions of Qn by Cp which preserve the nilindex and the natural graduation.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022404901000858http://www.sciencedirect.comrestricted access512.554.3Álgebra1201 Álgebra