Title Study of Lie algebras by using combinatorial structures
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
External publication Si
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 2
JCR Impact 0.968
SJR Impact 0.733
Publication date 15/01/2012
ISI 000298122500009
DOI 10.1016/j.laa.2010.11.030
Abstract In this paper, we study the structure and properties of those n-dimensional Lie algebras associated with either summed structures of complete graphs or some families of digraphs, having into consideration that all these combinatorial structures are made up of n vertices. Our main goal is to obtain criteria determining when a Lie algebra is associated with some of combinatorial structures considered in this paper, as well as to study the properties of those structures in order to use them as a tool for classifying the types of Lie algebras associated with them. (C) 2010 Elsevier Inc. All rights reserved.
Keywords Lie algebras; Combinatorial structures; Triangular configurations; Complete graphs; Digraphs
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