Title Directed pseudo-graphs and lie algebras over finite fields
Authors Boza, Luis, Manuel Fedriani, Eugenio, Nunez, Juan, PACHECO MARTÍNEZ, ANA MARÍA, Trinidad Villar, Maria, PACHECO MARTÍNEZ, ANA MARÍA
External publication No
Means Czech. Math. J.
Scope Article
Nature Científica
JCR Quartile 4
SJR Quartile 3
JCR Impact 0.28800
SJR Impact 0.41300
Area International
Publication date 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.
Keywords directed pseudo-graph; adjacency matrix; Lie algebra
Universidad Loyola members