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

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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