Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Schur $\mathsf{Lie}$-multiplier and $\mathsf{Lie}$-covers of
  Leibniz $n$-algebras   In this article, we study the notion of central extension of Leibniz
$n$-algebras relative to $n$-Lie algebras to study properties of Schur
$\mathsf{Lie}$-multiplier and $\mathsf{Lie}$-covers on Leibniz $n$-algebras. We
provide a characterization of $\mathsf{Lie}$-perfect Leibniz $n$-algebras by
means of universal $\mathsf{Lie}$-central extensions. It is also provided some
inequalities on the dimension of the Schur $\mathsf{Lie}$-multiplier of Leibniz
$n$-algebras. Analogue to Wiegold [38] and Green [17] results on groups or
Moneyhun [26] result on Lie algebras, we provide upper bounds for the dimension
of the $\mathsf{Lie}$-commutator of a Leibniz $n$-algebra with finite
dimensional $\mathsf{Lie}$-central factor, and also for the dimension of the
Schur $\mathsf{Lie}$-multiplier of a finite dimensional Leibniz $n$-algebra.

23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat