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arXiv · 2411.04856

Born Lie algebras

Alejandro Gil-García·Paula Naomi Pilatus
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Abstract

We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie algebras up to dimension four and all six-dimensional nilpotent Lie algebras admitting an integrable Born structure. Finally, we study the curvature properties of the pseudo-Riemannian metrics of the integrable Born structures obtained in our classification results.

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Alejandro Gil-García, Paula Naomi Pilatus. 2024-11-07. Born Lie algebras. https://doi.org/10.1016/j.geomphys.2025.105518

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