Solvable Leibniz algebras with NFn⊕ Fm1$egin{array}{}F_{m}^{1}end{array} $ nilradical : Open Mathematics

摘要

All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ Fm1 as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and Fm1 are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we show that these algebras are rigid.