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arXiv · 2303.15088

Finite-dimensional nilpotent Lie superalgebras of class two and skew-supersymmetric bilinear maps

Ibrahem Yakzan Hasan·Rudra Narayan Padhan
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Abstract

In this article, we discuss the category $\mathcal{SN}_2$ where the objects are finite-dimensional nilpotent Lie superalgebras of class two and the category $\mathcal{SSKE}$ where the objects are skew-supersymmetric bilinear maps. We establish relation between $\mathcal{SN}_2$ and $\mathcal{SSKE}$. As a result, we discuss the capability of nilpotent Lie superalgebras of class two.

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Ibrahem Yakzan Hasan, Rudra Narayan Padhan. 2023-03-27. Finite-dimensional nilpotent Lie superalgebras of class two and skew-supersymmetric bilinear maps. https://arxiv.org/abs/2303.15088

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