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arXiv · 2011.09916

Complex structures on nilpotent Lie algebras with one-dimensional center

Adela Latorre·Luis Ugarte·Raquel Villacampa
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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 $\mathfrak{g}$, we describe the space of complex structures on $\mathfrak{g}$ 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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Adela Latorre, Luis Ugarte, Raquel Villacampa. 2020-11-19. Complex structures on nilpotent Lie algebras with one-dimensional center. https://arxiv.org/abs/2011.09916

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