The Structure of n-Lie Algebras

Abstract

The structures of(n+1)-dimensional n-Lie algebras over an algebraically closed field of characteristic 2 are studied.The classification of(n+1)-dimensional n-Lie algebras is provided and the solvability and nilpotency are described.The concrete expressions of derivations and derivation algebras of(n+1)-dimensional n-Lie algebras are also given.