On the Schur multipliers of Lie superalgebras of maximal class

Abstract

We categorize all non-abelian nilpotent Lie superalgebras of dimension $(m|n)$, where $1\le s(L)\le 10$, and $s(L)$ is a non-negative integer defined by Nayak. Furthermore, we classify the structure of all Lie superalgebras of dimension at most five such that $\dim L^2=\dim \mathcal{M}(L)$.

In this revised version, all typographical errors have been meticulously corrected, enhancing clarity and precision. Additionally, a previously mentioned theorem has been revised to incorporate the most recent information or insights, thereby improving its overall accuracy and readability