Solvable Leibniz algebras with NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ nilradical
All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and Fm1$\begin{array}{} F_{m}^{1} \end{array} $ are the null-filiform and naturally gra...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-12-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2017-0115 |
| Summary: | All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕
Fm1$\begin{array}{}
F_{m}^{1}
\end{array} $ as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and
Fm1$\begin{array}{}
F_{m}^{1}
\end{array} $ are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we show that these algebras are rigid. |
|---|---|
| ISSN: | 2391-5455 |