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arXiv · 2410.01520

Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras

Sofiane Bouarroudj·Ana-Maria Radu
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Abstract

Over real numbers, Backhouse classified all four-dimensional Lie superalgebras. From this list, we will investigate those Lie superalgebras that can be obtained as Lagrangian extensions. Moreover, we investigate left-symmetric structures on these Lie superalgebras. Furthermore, except for two of them, they are all Novikov superalgebras.

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BibTeXRIS

Sofiane Bouarroudj, Ana-Maria Radu. 2024-10-02. Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras. https://arxiv.org/abs/2410.01520

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