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.
@article{bwmeta1.element.doi-10_1515_math-2017-0115,
author = {L.M. Camacho and B.A. Omirov and K.K. Masutova and I.M. Rikhsiboev},
title = {Solvable Leibniz algebras with NF n [?] [...] F m 1 $\begin{array}{} F\_{m}^{1} \end{array} $ nilradical},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1371-1388},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0115}
}
L.M. Camacho; B.A. Omirov; K.K. Masutova; I.M. Rikhsiboev. Solvable Leibniz algebras with NF n ⊕ [...] F m 1 $\begin{array}{} F_{m}^{1} \end{array} $ nilradical. Open Mathematics, Tome 15 (2017) pp. 1371-1388. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0115/