Complex structures on nilpotent Lie algebras with one-dimensional center
Latorre, Adela ; Ugarte, Luis (Universidad de Zaragoza) ; Villacampa, Raquel (Universidad de Zaragoza)
Resumen: We classify the nilpotent Lie algebras of real dimension eight and minimal center that admit a complex structure. Furthermore, for every such nilpotent Lie algebra g, we describe the space of complex structures on g up to isomorphism. As an application, the nilpotent Lie algebras having a non-trivial abelian J-invariant ideal are classified up to eight dimensions.
Idioma: Inglés
DOI: 10.1016/j.jalgebra.2022.09.021
Año: 2023
Publicado en: Journal of Algebra 614 (2023), 271-306
ISSN: 0021-8693
Factor impacto JCR: 0.8 (2023)
Categ. JCR: MATHEMATICS rank: 179 / 490 = 0.365 (2023) - Q2 - T2
Factor impacto CITESCORE: 1.5 - Algebra and Number Theory (Q2)
Factor impacto SCIMAGO: 1.023 - Algebra and Number Theory (Q1)
Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2020-115652GB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17R
Tipo y forma: Article (Published version)
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. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2024-11-22-11:58:54)
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Idioma: Inglés
DOI: 10.1016/j.jalgebra.2022.09.021
Año: 2023
Publicado en: Journal of Algebra 614 (2023), 271-306
ISSN: 0021-8693
Factor impacto JCR: 0.8 (2023)
Categ. JCR: MATHEMATICS rank: 179 / 490 = 0.365 (2023) - Q2 - T2
Factor impacto CITESCORE: 1.5 - Algebra and Number Theory (Q2)
Factor impacto SCIMAGO: 1.023 - Algebra and Number Theory (Q1)
Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2020-115652GB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17R
Tipo y forma: Article (Published version)
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. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2024-11-22-11:58:54)
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Record created 2023-02-24, last modified 2024-11-25