| Title |
Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, NÚÑEZ VALDÉS, JUAN , TENORIO VILLALÓN, ÁNGEL FRANCISCO |
| External publication |
No |
| Means |
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
4 |
| SJR Quartile |
3 |
| JCR Impact |
0.422 |
| SJR Impact |
0.348 |
| Publication date |
01/01/2016 |
| ISI |
000386929100009 |
| DOI |
10.1515/auom-2016-0032 |
| Abstract |
In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra h(n), of nxn upper -triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of h(n), besides programming its implementation with the symbolic computation package MAPLE. The algorithm returns a maximal abelian subalgebra of h(n), and, hence, its maximal abelian dimension. The order n of the matrices h(n) is the unique input needed to obtain these subalgebras. Finally, a computational study of the algorithm is presented and we explain and comment some suggestions and comments related to how it works. |
| Keywords |
Maximal abelian dimension; solvable Lie algebra; algorithm |
| Universidad Loyola members |
|
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