Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/10357
| Títulos: | Subalgebras of gl(3, ℝ) |
| Autores/as: | Thompson, G. Wick, Z. |
| Palabras clave: | Three-dimensional matrix;Lie algebra;Lie group;Solvable algebra;Non-trivial Levi decomposition;Matriz tridimensional;Álgebra de Lie;Grupo de Lie;Álgebra soluble;Descomposición de Levi no trivial |
| Fecha de publicación: | 2012 |
| Editor/a: | Universidad de Extremadura |
| Resumen: | This paper finds all subalgebras of gl(3, ℝ) up to change of basis in ℝ³. For each such algebra the corresponding matrix Lie subgroup of GL(3,ℝ) obtained by exponentiation is given. An interesting phenomenon is that for algebras of dimension three and higher one frequently encounters inequivalent subalgebras and subgroups, one obtained from the other, by transposing about the anti-diagonal. |
| URI: | http://hdl.handle.net/10662/10357 |
| Colección: | Extracta Mathematicae Vol. 27, nº 2 (2012) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_27_2_201.pdf | 148,61 kB | Adobe PDF | Descargar |
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