Mathematica Eterna
Open Access

Abstract

Low Dimensional n-Lie Algebras

BAI Ruipu and Wang Xiaoling

This paper considers structures of low dimensional n-Lie algebras over a field of characteristic 2. It first refined the classification of (n+1)- dimensional n-Lie algebras over an algebraically closed field of characteristic 2. And then it provided an isomorphic criterion theorem for (n + 2)-dimensional n-Lie algebras.