Directed Pseudo-Graphs and Lie Algebras Over Finite Fields
| Autor: | Boza Prieto, Luis, Fedriani Martel, Eugenio Manuel, Núñez Valdés, Juan, Pacheco Martínez, Ana María, Villar Liñán, María Trinidad |
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| Přispěvatelé: | Universidad de Sevilla. Departamento de Geometría y Topología |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Brújula Universidad Loyola Andalucía idUS. Depósito de Investigación de la Universidad de Sevilla instname |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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