Classification of (n+2)-dimensional n-Lie Algebras

TL;DR

This paper provides a complete classification and isomorphism criteria for (n+2)-dimensional n-Lie algebras over algebraically closed fields of characteristic 2, advancing understanding of their structure.

Contribution

It introduces a comprehensive classification and an isomorphism criterion for (n+2)-dimensional n-Lie algebras in characteristic 2, filling a gap in algebraic theory.

Findings

Complete classification of (n+2)-dimensional n-Lie algebras

Isomorphism criterion theorem established

Structural insights into n-Lie algebras in characteristic 2

Abstract

We give a complete classification of (n+2)-dimensional n-Lie algebras over an algebraically closed field of characteristic $2$, and provide a isomorphic criterion theorem of (n+2)-dimensional n-Lie algebras.