| Title |
An Algorithm to Compute Abelian Subalgebras in Linear Algebras of Upper-Triangular Matrices |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| External publication |
Si |
| Means |
AIP Conf. Proc. |
| Scope |
Proceedings Paper |
| Nature |
Científica |
| SJR Impact |
0.16300 |
| Publication date |
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). |
| Keywords |
Maximal abelian dimension; solvable Lie algebra; algorithmic procedure; programming |
| Universidad Loyola members |
|
Manage cookies