| 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 | 0.163 |
| 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 |
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