Abstract
In this paper, we continue the investigation of complex finite-dimensional solvable Leibniz algebras with nilradical (Formula presented.) , where (Formula presented.) are ideals of maximal nilindex of the nilradical. The multiplication tables of such solvable algebras with restrictions to structural constants are obtained. In the case when the complemented space to the nilradical is one-dimensional, we present a multiplication table without any restrictions to structural constants. The classification of solvable Leibniz algebras, whose dimension of the complemented vector space to the nilradical is equal to s, is also given. Moreover, the description of solvable Leibniz algebras with the condition of each (Formula presented.) is ideal of the algebra is presented.
| Original language | English |
|---|---|
| Pages (from-to) | 1220-1239 |
| Number of pages | 20 |
| Journal | Linear and Multilinear Algebra |
| Volume | 62 |
| Issue number | 9 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
Keywords
- Leibniz algebra
- derivation
- nilpotency
- nilradical
- null-filiform Leibniz algebra
- solvability
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