doi:10.1090/tran/7512engLatorre, AdelaUgarte, LuisVillacampa, RaquelThe ascending central series of nilpotent Lie algebras with complex structureART-2019-111680We obtain several restrictions on the terms of the ascending central series of a nilpotent Lie algebra g under the presence of a complex structure J. In particular, we find a bound for the dimension of the center of g when it does not contain any non-trivial J-invariant ideal. Thanks to these results, we provide a structural theorem describing the ascending central series of 8-dimensional nilpotent Lie algebras g admitting this particular type of complex structure J. Since our method is constructive, it allows us to describe the complex structure equations that parametrize all such pairs (g, J).2019http://zaguan.unizar.es/record/7954310.1090/tran/7512http://zaguan.unizar.es/record/79543oai:zaguan.unizar.es:79543info:eu-repo/grantAgreement/ES/DGA/E15info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-PTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372, 6 (2019), 3867-3903by-nchttp://creativecommons.org/licenses/by-nc/3.0/es/info:eu-repo/semantics/openAccess