Characterization of capable nilpotent n-Lie algebras of class two by their Schur multipliers

In this paper, we classify the generalized Heisenberg nilpotent n-Lie algebras of rank two with dimension at most 2n+3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2n+3$$\end{document}. Using them, we classify capable nilpotent n-Lie algebras with two-dimensional derived subalgebra. We also obtain the dimension of the Schur multiplier of nilpotent n-Lie algebras of class two with two-dimensional derived subalgebra.