Leibniz algebras with an abelian subalgebra of codimension tw0

A characterization of the finite-dimensional Leibniz algebras with an abelian subalgebra of codimension two over a field F of characteristic p≠2 is given. In short, a finite-dimensional Leibniz algebra of dimension n with an abelian subalgebra of codimension two is solvable and contains an abelian ideal of codimension at most two or it is a direct sum of a Lie one-dimensional solvable extension of the Heisenberg algebra h(F) and Fⁿ⁻⁴ or a direct sum of a $3$-dimensional simple Lie algebra and Fⁿ⁻³ or a Leibniz one-dimensional solvable extension of the algebra h(F) ⊕ Fⁿ⁻⁴.