| 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 | 0.322 |
| 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 |
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