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)