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- W3015616801 abstract "In the present paper, we study the notion of the Schur multiplier $mathcal{M}(L)$ of an $n$-Lie superalgebra $L$, and prove that $dim mathcal{M}(L) leq sum_{i=0}^{n} {mchoose{i}} mathcal{L}(n-i,k)$, where $dim L=(m|k)$, $mathcal{L}(0,k)=1$ and $mathcal{L}(t,k) = sum_{j=1}^{t}{{t-1}choose{j-1}} {kchoose j}$, for $1leq tleq n$. Moreover, we obtain an upper bound for the dimension of $mathcal{M}(L)$ in which $L$ is a nilpotent $n$-Lie superalgebra with one-dimensional derived superalgebra. It is also provided several inequalities on $dimmathcal{M}(L)$ as well as an $n$-Lie superalgebra analogue of the converse of Schur's theorem." @default.
- W3015616801 created "2020-04-17" @default.
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- W3015616801 date "2020-04-13" @default.
- W3015616801 modified "2023-09-27" @default.
- W3015616801 title "The Schur multiplier of an $n$-Lie superalgebra" @default.
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