4 research outputs found
Solvable Leibniz algebras with triangular nilradical
A classification exists for Lie algebras whose nilradical is the triangular
Lie algebra . We extend this result to a classification of all solvable
Leibniz algebras with nilradical . As an example we show the complete
classification of all Leibniz algebras whose nilradical is .Comment: arXiv admin note: text overlap with arXiv:1307.844
A Frattini Theory for Leibniz Algebras
A Frattini theory for non-associative algebras was developed by Towers and
results for particular classes of algebras have appeared in various articles.
Especially plentiful are results on Lie algebras. It is the purpose of this
paper to extend some of the Lie algebra results to Leibniz algebras