| Título | REPRESENTING FILIFORM LIE ALGEBRAS MINIMALLY AND FAITHFULLY BY STRICTLY UPPER-TRIANGULAR MATRICES |
|---|---|
| Autores | CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| Publicación externa | Si |
| Medio | J. Algebra. Appl. |
| Alcance | Article |
| Naturaleza | Científica |
| Cuartil JCR | 4 |
| Cuartil SJR | 3 |
| Impacto JCR | 0.373 |
| Impacto SJR | 0.588 |
| Fecha de publicacion | 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. |
| Palabras clave | Filiform Lie algebra; minimal faithful strictly upper-triangular matrix representation; algorithm |
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