|
|||||
|
|
The Classification of Naturally Graded p-Filiform Leibniz Algebras |
|
| Authors: | L M Camacho J R Gómez A J González |
| Institution: | 1. Departamento Matemática Aplicada I , Universidad de Sevilla , Sevilla, Spain;2. Departamento de Matemáticas , Universidad de Extremadura , Badajoz, Spain |
| Abstract: | In the present article the classification of n-dimensional naturally graded p-filiform (1 ≤ p ≤ n ? 4) Leibniz algebras is obtained. A splitting of the set of naturally graded Leibniz algebras into the families of Lie and non Lie Leibniz algebras by means of characteristic sequences (isomorphism invariants) is proved. |
| Keywords: | Characteristic sequence Leibniz algebra Lie algebra Natural gradation Nilpotence p-Filiformlicity |