On classification of (n+5)-dimensional nilpotent n-Lie algebra of class two

TL;DR

This paper classifies (n+5)-dimensional nilpotent n-Lie algebras of class two over arbitrary fields for n ≥ 3, expanding understanding of their structure and classification.

Contribution

It provides a complete classification of a specific class of nilpotent n-Lie algebras, which was previously not fully understood.

Findings

Classification of (n+5)-dimensional nilpotent n-Lie algebras of class two

Results valid over arbitrary fields for n ≥ 3

Enhanced understanding of algebraic structures in higher dimensions

Abstract

In this paper, we classify (n+5)-dimensional nilpotent n-Lie algebras of class two over the arbitrary field, when $n\ge 3$.