000079543 001__ 79543
000079543 005__ 20240201145617.0
000079543 0247_ $$2doi$$a10.1090/tran/7512
000079543 0248_ $$2sideral$$a111680
000079543 037__ $$aART-2019-111680
000079543 041__ $$aeng
000079543 100__ $$0(orcid)0000-0001-5426-5248$$aLatorre, Adela
000079543 245__ $$aThe ascending central series of nilpotent Lie algebras with complex structure
000079543 260__ $$c2019
000079543 5060_ $$aAccess copy available to the general public$$fUnrestricted
000079543 5203_ $$aWe obtain several restrictions on the terms of the ascending central series of a nilpotent Lie algebra g under the presence of a complex structure J. In particular, we find a bound for the dimension of the center of g when it does not contain any non-trivial J-invariant ideal. Thanks to these results, we provide a structural theorem describing the ascending central series of 8-dimensional nilpotent Lie algebras g admitting this particular type of complex structure J. Since our method is constructive, it allows us to describe the complex structure equations that parametrize all such pairs (g, J).
000079543 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P
000079543 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/
000079543 590__ $$a1.363$$b2019
000079543 592__ $$a2.022$$b2019
000079543 591__ $$aMATHEMATICS$$b60 / 323 = 0.186$$c2019$$dQ1$$eT1
000079543 593__ $$aMathematics (miscellaneous)$$c2019$$dQ1
000079543 593__ $$aApplied Mathematics$$c2019$$dQ1
000079543 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000079543 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, Luis$$uUniversidad de Zaragoza
000079543 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa, Raquel
000079543 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000079543 773__ $$g372, 6 (2019), 3867-3903$$pTrans. Am. Math. Soc.$$tTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY$$x0002-9947
000079543 8564_ $$s431153$$uhttps://zaguan.unizar.es/record/79543/files/texto_completo.pdf$$yPostprint
000079543 8564_ $$s67131$$uhttps://zaguan.unizar.es/record/79543/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000079543 909CO $$ooai:zaguan.unizar.es:79543$$particulos$$pdriver
000079543 951__ $$a2024-02-01-14:51:58
000079543 980__ $$aARTICLE