| Título | New Results in the Classification of Filiform Lie Algebras |
|---|---|
| Autores | CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| Publicación externa | Si |
| Medio | Bull. Malays. Math. Sci. Soc. |
| Alcance | Article |
| Naturaleza | Científica |
| Cuartil JCR | 2 |
| Cuartil SJR | 2 |
| Impacto JCR | 0.84 |
| Impacto SJR | 0.626 |
| Ámbito | Internacional |
| Fecha de publicacion | 01/01/2017 |
| ISI | 000392066900024 |
| DOI | 10.1007/s40840-016-0321-7 |
| Abstract | In this paper, we present an algorithmic method to describe and classify filiform Lie algebras by considering the maximal dimension of abelian ideals and studying the relation between them and some known invariants of filiform Lie algebras. To do so, we have proved some new results about structure coefficients in the general law of filiform Lie algebras. Moreover, some mistakes are corrected in the already-known classification of filiform Lie algebras of dimension 8. |
| Palabras clave | Filiform Lie algebra; Algorithmic method; Isomorphism classes; Structure coefficients; Invariants z(1) and z(2) |
| Miembros de la Universidad Loyola |