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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Exportado de SIDERAL (2024-02-01-14:51:58)
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Record created 2019-07-02, last modified 2024-02-01