On abelian complex structures on Nilpotent Lie Algebras

Luis Pizarro; Raquel Villacampa

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arXiv · 2608.04914

On abelian complex structures on Nilpotent Lie Algebras

Luis Pizarro·Raquel Villacampa

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Abstract

We provide a new approach to the classification, up to equivalence, of abelian complex structures on nilpotent Lie algebras. As an application, we recover the already known classifications in dimensions 4 and 6 and provide a classification in dimension 8 for 1-abelian complex structures. Some results about the general case are given.

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Luis Pizarro, Raquel Villacampa. 2026-08-05. On abelian complex structures on Nilpotent Lie Algebras. https://arxiv.org/abs/2608.04914

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