Complex structures on nilpotent Lie algebras with one-dimensional center
Publication type: Journal Article
Publication date: 2023-01-01
scimago Q1
wos Q2
SJR: 1.029
CiteScore: 1.6
Impact factor: 0.8
ISSN: 00218693, 1090266X
Algebra and Number Theory
Abstract
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.
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Citations from 2024:
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Latorre A. Complex structures on nilpotent Lie algebras with one-dimensional center // Journal of Algebra. 2023. Vol. 614. pp. 271-306.
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Latorre A. Complex structures on nilpotent Lie algebras with one-dimensional center // Journal of Algebra. 2023. Vol. 614. pp. 271-306.
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RIS
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TY - JOUR
DO - 10.1016/j.jalgebra.2022.09.021
UR - https://doi.org/10.1016/j.jalgebra.2022.09.021
TI - Complex structures on nilpotent Lie algebras with one-dimensional center
T2 - Journal of Algebra
AU - Latorre, Adela
PY - 2023
DA - 2023/01/01
PB - Elsevier
SP - 271-306
VL - 614
SN - 0021-8693
SN - 1090-266X
ER -
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@article{2023_Latorre,
author = {Adela Latorre},
title = {Complex structures on nilpotent Lie algebras with one-dimensional center},
journal = {Journal of Algebra},
year = {2023},
volume = {614},
publisher = {Elsevier},
month = {jan},
url = {https://doi.org/10.1016/j.jalgebra.2022.09.021},
pages = {271--306},
doi = {10.1016/j.jalgebra.2022.09.021}
}