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arXiv · 2011.02430

On multipliers of pairs of Lie superalgebras

Hesam Safa
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Abstract

In this article, we study the notion of the Schur multiplier $\mathcal{M}(N,L)$ of a pair $(N,L)$ of Lie superalgebras and obtain some upper bounds concerning dimensions. Moreover, we characterize the pairs of finite dimensional (nilpotent) Lie superalgebras for which $\dim \mathcal{M}(N,L)= \frac{1}{2}\big{(}(m+n)^2+(n-m)\big{)}+\dim N\dim(L/N)-t$, for $t=0,1$, where $\dim N=(m|n)$.

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Hesam Safa. 2020-11-04. On multipliers of pairs of Lie superalgebras. https://doi.org/10.2989/16073606.2021.1978010

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