| Title |
Complete triangular structures and Lie algebras |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| External publication |
Si |
| Means |
Int J Comput Math |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
3 |
| SJR Quartile |
3 |
| JCR Impact |
0.49900 |
| SJR Impact |
0.35500 |
| 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 |
| Universidad Loyola members |
|
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