Título Directed pseudo-graphs and lie algebras over finite fields
Autores Boza, Luis , Manuel Fedriani, Eugenio , Nunez, Juan , PACHECO MARTÍNEZ, ANA MARÍA, Trinidad Villar, Maria
Publicación externa No
Medio Czech. Math. J.
Alcance Article
Naturaleza Científica
Cuartil JCR 4
Cuartil SJR 3
Impacto JCR 0.28800
Impacto SJR 0.41300
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-84906047110&doi=10.1007%2fs10587-014-0096-7&partnerID=40&md5=06c8367ab92cadc4bb826bd1c49a19d8
Fecha de publicacion 01/03/2014
ISI 000340548200020
Scopus Id 2-s2.0-84906047110
DOI 10.1007/s10587-014-0096-7
Abstract 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 a"currency sign/2a"currency sign. Over a"currency sign/3a"currency sign, eight and twenty-two 2- and 3-dimensional Lie algebras, respectively, are also found. Finally, some ideas for future research are presented.
Palabras clave directed pseudo-graph; adjacency matrix; Lie algebra
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