| Title |
REPRESENTING FILIFORM LIE ALGEBRAS MINIMALLY AND FAITHFULLY BY STRICTLY UPPER-TRIANGULAR MATRICES |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| External publication |
Si |
| Means |
Journal of Algebra and its Applications |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
4 |
| SJR Quartile |
3 |
| JCR Impact |
0.373 |
| SJR Impact |
0.588 |
| Publication date |
01/06/2013 |
| ISI |
000316952300014 |
| DOI |
10.1142/S0219498812501964 |
| Abstract |
In this paper, we compute minimal faithful representations of filiform Lie algebras by means of strictly upper-triangular matrices. To obtain such representations, we use nilpotent Lie algebras g(n), of n x n strictly upper-triangular matrices, because any given (filiform) nilpotent Lie algebra g admits a Lie-algebra isomorphism with a subalgebra of g(n) for some n is an element of N\\{1}. In this sense, we search for the lowest natural integer n such that the Lie algebra g(n) contains the filiform Lie algebra g as a subalgebra. Additionally, we give a representative of each representation. |
| Keywords |
Filiform Lie algebra; minimal faithful strictly upper-triangular matrix representation; algorithm |
| Universidad Loyola members |
|
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