Abstract:
All finite-dimensional solvable Leibniz algebras L, having N D NFn L Fm1 as the nilradical and the dimension of L equal to n C m C 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