Ruipu Bai, Xiaoling Wang
Abstract
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.
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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.
Key concepts: Algebraically closed field, Mathematics, Pure mathematics, Adjoint representation of a Lie algebra, Field (mathematics), Lie algebra, Killing form, Non-associative algebra