CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.

Si

Int. J. Comput. Math.

Article

Científica

✗

✗

0.499

0.355

01/01/2011

000290940600005

10.1080/00207161003767994

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.

triangular configuration; combinatorial structure; Lie algebras; classification; algorithm

• MANUEL CEBALLOS GONZÁLEZ