| Título |
An Algorithm to Compute Abelian Subalgebras in Linear Algebras of Upper-Triangular Matrices |
| Autores |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| Publicación externa |
Si |
| Medio |
AIP Conf. Proc. |
| Alcance |
Proceedings Paper |
| Naturaleza |
Científica |
| Impacto SJR |
0.16300 |
| Fecha de publicacion |
01/01/2009 |
| ISI |
000280417500014 |
| Abstract |
This paper deals with the maximal abelian dimension of the Lie algebra h(n) of nxn upper-triangular matrices. Regarding this, we obtain an algorithm which computes abelian subalgebras of h(n) as well as its implementation (and a computational study) by using the symbolic computation package MAPLE, where the order n of the matrices in h(n) is the unique input needed. Let us note that the algorithm also allows us to obtain a maximal abtain subalgebra of h(n). |
| Palabras clave |
Maximal abelian dimension; solvable Lie algebra; algorithmic procedure; programming |
| Miembros de la Universidad Loyola |
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