García Vergnolle, LucíaAncochea Bermúdez, José MaríaAlmaraz Luengo, Elena Salome2023-06-192023-06-192013-05Almaraz Luengo, E. S., Ancochea Bermúdez, J. M. & García Vergonolle, L. «Completeness of Quasi-Filiform Lie Algebras». Linear and Multilinear Algebra, vol. 61, n.o 5, mayo de 2013, pp. 582-95. DOI.org (Crossref), https://doi.org/10.1080/03081087.2012.696250.Almaraz Luengo, E. S., Ancochea Bermúdez, J. M. & García Vergnolle, L. «Completeness of Quasi-Filiform Lie Algebras». Linear and Multilinear Algebra, vol. 61, n.o 5, mayo de 2013, pp. 582-95. DOI.org (Crossref), https://doi.org/10.1080/03081087.2012.696250.0308-108710.1080/03081087.2012.696250https://hdl.handle.net/20.500.14352/33270It is proved that for any quasi-filiform of non-zero rank the solvable Lie algebra obtained by adjoining a maximal torus of outer derivations is complete. Further, for any positive integer m, it is shown that there exist solvable complete Lie algebras with the second ChevalleyEilenberg cohomology group of arbitrary dimension.Completeness of quasi-filiform Lie algebrasjournal articlehttps//doi.org/10.1080/03081087.2012.696250http://www.tandfonline.com/doi/abs/10.1080/03081087.2012.696250metadata only access512Complete Lie algebraQuasi-filiformCohomologyÁlgebra1201 Álgebra