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

2023/03/27 by Ibrahem Yakzan Hasan, Hasan, Ibrahem Yakzan, Rudra Narayan Padhan +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2303.15088

Abstract

In this article, we discuss the category SN₂ where the objects are finite-dimensional nilpotent Lie superalgebras of class two and the category SSKE where the objects are skew-supersymmetric bilinear maps. We establish relation between SN₂ and SSKE. As a result, we discuss the capability of nilpotent Lie superalgebras of class two.

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