The ascending central series of nilpotent Lie algebras with complex structure

Latorre, Adela ; Ugarte, Luis (Universidad de Zaragoza) ; Villacampa, Raquel

Resumen: We 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).

Idioma: Inglés

DOI: 10.1090/tran/7512

Año: 2019

Publicado en: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372, 6 (2019), 3867-3903
ISSN: 0002-9947

Factor impacto JCR: 1.363 (2019)

Categ. JCR: MATHEMATICS rank: 60 / 323 = 0.186 (2019) - Q1 - T1

Factor impacto SCIMAGO: 2.022 - Mathematics (miscellaneous) (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)