Title Complete triangular structures and Lie algebras
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
External publication Si
Scope Article
Nature Científica
JCR Quartile 3
SJR Quartile 3
JCR Impact 0.499
SJR Impact 0.355
Publication date 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.
Keywords triangular configuration; combinatorial structure; Lie algebras; classification; algorithm
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