| Title | Study of Lie algebras by using combinatorial structures |
|---|---|
| Authors | CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| External publication | Si |
| Means | Linear Algebra Its Appl |
| 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 |
| Universidad Loyola members |