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- W4288889598 abstract "This paper investigates some properties of complex structures on Lie algebras. In particular, we focus on $textit{nilpotent}$ $textit{complex structures}$ that are characterized by a suitable $J$-invariant ascending or descending central series $mathfrak{d}^j$ and $mathfrak{d}_j$ respectively. In this article, we introduce a new descending series $mathfrak{p}_j$ and use it to give proof of a new characterization of nilpotent complex structures. We examine also whether nilpotent complex structures on stratified Lie algebras preserve the strata. We find that there exists a $J$-invariant stratification on a step $2$ nilpotent Lie algebra with a complex structure." @default.
- W4288889598 created "2022-07-31" @default.
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- W4288889598 date "2022-02-04" @default.
- W4288889598 modified "2023-09-24" @default.
- W4288889598 title "Complex structures on stratified Lie algebras" @default.
- W4288889598 doi "https://doi.org/10.48550/arxiv.2202.02111" @default.
- W4288889598 hasPublicationYear "2022" @default.
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