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 0.49900
Impacto SJR 0.35500
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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