| Title |
Computing Matrix Representations of Filiform Lie Algebras |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| External publication |
Si |
| Means |
Lect. Notes Comput. Sci. |
| Scope |
Proceedings Paper |
| Nature |
Científica |
| JCR Quartile |
4 |
| SJR Quartile |
2 |
| SJR Impact |
0.32200 |
| Publication date |
01/01/2010 |
| ISI |
000285028600006 |
| Abstract |
In this paper, we compute minimal faithful unitriangular matrix representations of filiform Lie algebras. To do it, we use the nilpotent Lie algebra, g, formed of n x n strictly upper-triangular matrices. More concretely, we search the lowest natural number a such that the Lie algebra g contains a given filiform Lie algebra, also computing a representative of this algebra. All the computations in this paper have been done using MAPLE 9.5. |
| Keywords |
Filiform Lie Algebra; Minimal Faithful Unitriangular Matrix Representation; Algorithm |
| Universidad Loyola members |
|
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