On the Structure of Automorphism Groups of Some Low-Dimensional Leibniz Algebras
摘要
Let L be an algebra over a field F with binary operations + and [, ]. The algebra L is called a left Leibniz algebra if it satisfies the left Leibniz identity: [[a, b], c] = [a, [b, c]] − [b, [a, c]] for all elements a, b, c ∈ L. We study the structure of the group of automorphisms of 3-dimensional Leibniz algebras with nilpotency class 2 and a one-dimensional center.