| Autor: |
Ceballos Manuel, Núñez Juan, Tenorio Ángel F. |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 24, Iss 2, Pp 137-147 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
1844-0835 |
| DOI: |
10.1515/auom-2016-0032 |
| Popis: |
In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of hn besides programming its implementation with the symbolic computation package MAPLE. The algorithm returns a maximal abelian subalgebra of hn and, hence, its maximal abelian dimension. The order n of the matrices hn 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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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