| Título: | Characteristically nilpotent Lie algebras of type g 1 × ? ? g 2 |
| Autores: | Ancochea Bermúdez , José María ; Campoamor Stursberg, Otto Ruttwig |
| Tipo de documento: | texto impreso |
| Editorial: | WALTER DE GRUYTER, 2003 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Álgebra , Tipo = Artículo |
| Resumen: | A finite-dimensional complex Lie algebra g is characteristically nilpotent if its Lie algebra Derk(g) of derivations is nilpotent. Given two finite-dimensional nilpotent Lie algebras g1, g2, the authors construct a non-split central extension g1 × g2 of g1 g2 by a space of dimension (dim g1/[g1, g1])(dim g2/[g2, g2]). The main result of the paper provides a sufficient condition for the characteristic nilpotence of g1 × g2 |
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