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Real non-degenerate two-step nilpotent Lie algebras of dimension eight

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arxiv 2308.11413 v2 pith:URZSN3LB submitted 2023-08-22 math.GR math.AGmath.RAmath.RT

Real non-degenerate two-step nilpotent Lie algebras of dimension eight

classification math.GR math.AGmath.RAmath.RT
keywords algebrasrealdimensionnilpotentnon-degeneratenumberstwo-stepclassify
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We classify the non-degenerate two-step nilpotent Lie algebras of dimension 8 over the field of real numbers, using known results over complex numbers. We write explicit structure constants for these real Lie algebras.

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