The paper reveals that Lie superalgebras can be generated by nilpotent elements, indicating new structural insights.
In this paper, we prove that the special linear Lie superalgebra [Formula: see text] can be generated by two nilpotent elements. In particular, the two series of [Formula: see text] and [Formula: see text] can be generated by one and a half nilpotent generators, which means that for any non-zero nilpotent element, there exists a nilpotent element such that these two elements can generate the whole Lie superalgebra.
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Lv et al. (2025) studied this question.
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