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math.RA2020
Complex structures on nilpotent Lie algebras with one-dimensional center
Adela Latorre, Luis Ugarte, Raquel Villacampa
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 ,…
math.RA2017
The ascending central series of nilpotent Lie algebras with complex structure
A. Latorre, L. Ugarte, R. Villacampa
We obtain several restrictions on the terms of the ascending central series of a nilpotent Lie algebra under the presence of a complex structure . In particular, w…