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- W2749384074 abstract "We obtain several restrictions on the terms of the ascending central series of a nilpotent Lie algebra $mathfrak g$ under the presence of a complex structure $J$. In particular, we find a bound for the dimension of the center of $mathfrak g$ when it does not contain any non-trivial $J$-invariant ideal. Thanks to these results, we provide a structural theorem describing the ascending central series of 8-dimensional nilpotent Lie algebras $mathfrak g$ admitting this particular type of complex structures $J$. Since our method is constructive, it allows us to describe the complex structure equations that parametrize all such pairs $(mathfrak g, J)$." @default.
- W2749384074 created "2017-08-31" @default.
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- W2749384074 date "2017-08-16" @default.
- W2749384074 modified "2023-10-01" @default.
- W2749384074 title "The ascending central series of nilpotent Lie algebras with complex structure" @default.
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- W2749384074 doi "https://doi.org/10.48550/arxiv.1708.05059" @default.
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