Erratum: Corrigendum to “Classification of solvable Leibniz algebras with naturally graded filiform nilradical” (Linear Algebra and Its Applications (2013) 438(7) (2973–3000) (S0024379512008300) (10.1016/j.laa.2012.11.023))

There is a mistake in the description of complex solvable Leibniz algebras whose nilradical is a naturally graded filiform algebra [2, Theorem 4.3]. Namely, in the case where the dimension of the solvable Leibniz algebra with nilradical F_n¹ is equal to n+2, it was asserted that there is no such algebra. However, it was possible for us to find a unique (n+2)-dimensional solvable Leibniz algebra with nilradical F_n¹. The corrected description is provided in this Corrigendum note. In addition, we establish the triviality of the second group of cohomology for this algebra with coefficients in itself, which implies its rigidity.