| dc.creator | Licurgo, Edson Carlos | es |
| dc.creator | San Martín, Luiz A. B. | es |
| dc.date | 2011-12-10 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1178 | |
| dc.identifier | 10.4067/S0716-09172011000200008 | |
| dc.description | Let (g, [•, •]) be a Lie algebra with an integrable complex structure J. The ±i eigenspaces of J are complex subalgebras of gC isomorphic to the algebra (g, [*]J) with bracket [X * Y]J = 2 ([X, Y] - [JX, JY]). We consider here the case where these subalgebras are nilpotent and prove that the original (g, [•, •]) Lie algebra must be solvable. We consider also the 6-dimensional case and determine explicitly the possible nilpotent Lie algebras (g, [*]J). Finally we produce several examples illustrating different situations, in particular we show that for each given s there exists g with complex structure J such that (g, [*]J) is s-step nilpotent. Similar examples of hypercomplex structures are also built. | es |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1178/1108 | |
| dc.rights | Copyright (c) 2011 Proyecciones. Journal of Mathematics | en |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en |
| dc.source | Proyecciones (Antofagasta); Vol. 30 No. 2 (2011); 247-263 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 30 Núm. 2 (2011); 247-263 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2011 | |
| dc.title | Lie algebras with complex structures having nilpotent eigenspaces | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
