Título |
Complete triangular structures and Lie algebras |
Autores |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
Publicación externa |
Si |
Medio |
Int J Comput Math |
Alcance |
Article |
Naturaleza |
Científica |
Cuartil JCR |
3 |
Cuartil SJR |
3 |
Impacto JCR |
0.499 |
Impacto SJR |
0.355 |
Fecha de publicacion |
01/01/2011 |
ISI |
000290940600005 |
DOI |
10.1080/00207161003767994 |
Abstract |
In this paper, we study the families of n-dimensional Lie algebras associated with a combinatorial structure made up of n vertices and with its edges forming a complete simple, undirected graph. Moreover, some properties are characterized for these structures using Lie theory, giving some examples and representations. Furthermore, we also study the type of Lie algebras associated with them in order to get their classification. Finally, we also show an implementation of the algorithmic method used to associate Lie algebras with complete triangular structures. |
Palabras clave |
triangular configuration; combinatorial structure; Lie algebras; classification; algorithm |
Miembros de la Universidad Loyola |
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