Classification of solvable Leibniz algebras with abelian nilradical and $k-1$ dimensional extension

This work is devoted to the classification of solvable Leibniz algebras with an abelian nilradical. We consider $k-1$ dimensional extension of $k$-dimensional abelian algebras and classify all $2k-1$-dimensional solvable Leibniz algebras with an abelian nilradical of dimension $k$.

R.K. Gaybullaev, A.Kh. Khudoyberdiyev, K. Pohl · 2018