Artículo
Directed pseudo-graphs and Lie algebras over finite fields
Autor/es | Boza Prieto, Luis
Fedriani Martel, Eugenio Manuel Núñez Valdés, Juan Pacheco Martínez, Ana María Villar Liñán, María Trinidad |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2014-03 |
Fecha de depósito | 2016-05-27 |
Publicado en |
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Resumen | The main goal of this paper is to show an application of Graph Theory to
classifying Lie algebras over finite fields. It is rooted in the representation of each Lie algebra by a certain pseudo-graph. As partial results, ... The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It is rooted in the representation of each Lie algebra by a certain pseudo-graph. As partial results, it is deduced that there exist, up to isomorphism, four, six, fourteen and thirty-four 2-, 3-, 4-, and 5-dimensional algebras of the studied family, respectively, over the field Z/2Z. Over Z/3Z, eight and twenty-two 2-and 3-dimensional Lie algebras, respectively, are also found. Finally, some ideas for future research are presented. |
Identificador del proyecto | PAI-FQM-164 |
Cita | Boza Prieto, L., Fedriani Martel, E.M., Núñez Valdés, J., Pacheco Martínez, A.M. y Villar Liñán, M.T. (2014). Directed pseudo-graphs and Lie algebras over finite fields. Czechoslovak Mathematical Journal, 64 (1), 229-239. |
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