Classification of $(n+3)$-dimensional metric $n$-Lie algebras

TL;DR

This paper classifies $(n+3)$-dimensional metric $n$-Lie algebras by analyzing their properties and providing a comprehensive categorization based on these properties.

Contribution

It offers the first complete classification of $(n+3)$-dimensional metric $n$-Lie algebras, expanding understanding of their structure.

Findings

Classification of $(n+3)$-dimensional metric $n$-Lie algebras achieved

Derived properties of $(n+3)$-dimensional $n$-Lie algebras

Established structural characteristics of these algebras

Abstract

In this paper, we focus on $(n+3)$-dimensional metric $n$-Lie algebras. To begin with, we give some properties on $(n+3)$-dimensional $n$-Lie algebras. Then based on the properties, we obtain the classification of $(n+3)$-dimensional metric $n$-Lie algebras.