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arXiv · 2511.18941

Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three

Saboura Yousefi·Azam Kaheni·Farangis Johari
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Abstract

In this paper, we investigate nilpotent Lie algebras $ L $ of nilpotency class $3 $ and provide a complete classification of those satisfying $ \dim L^2 = 3 $ and $Z(L) = L^3 \cong A(2). $ Furthermore, we explicitly characterize the structure of such Lie algebras in the case when $ \dim L = 7. $

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Saboura Yousefi, Azam Kaheni, Farangis Johari. 2025-11-24. Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three. https://arxiv.org/abs/2511.18941

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