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http://hdl.handle.net/10662/14892
| Títulos: | Representations of codimension one non-abelian nilradical Lie algebras |
| Autores/as: | Rawashdeh, Mahmoud Thompson, G. |
| Palabras clave: | Álgebras de Lie de baja dimensión;Campo vectorial invariante a la derecha;Extensión del álgebra de Lie;Codimensión uno nilradical;Low-dimensional Lie algebras;Right-invariant vector field;Lie algebra extension;Codimension one nilradical |
| Fecha de publicación: | 2008 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | A Theorem is proved that shows that for a solvable Lie algebra Ϧ of dimensión n+2 whose nilradical is codimension one and for which the nilradical has a one-dimensional derived algebra there is a subgroup of GL(n+2ℝ) whose Lie algebra is isomorphic to Ϧ. The Theorem helps to give a more conceptual understanding of the classification of the algebras in dimensions four, five and six. Finally the main Theorem is applied to a particularly interesting class of algebras for which the nilradical is isomorphic to the five-dimensional Heisenberg algebra. |
| URI: | http://hdl.handle.net/10662/14892 |
| ISSN: | 0213-8743 |
| Colección: | Extracta Mathematicae Vol. 23, nº 2 (2008) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 0213-8743_23_2_181.pdf | 195,09 kB | Adobe PDF | Descargar |
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