CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
Si
Appl. Math. Lett.
Article
Científica
1.501
1.284
01/03/2012
000298201700054
This work shows how to associate the Lie algebra h(n), of upper triangular matrices, with a specific combinatorial structure of dimension 2, for n is an element of N. The properties of this structure are analyzed and characterized. Additionally, the results obtained here are applied to obtain faithful representations of solvable Lie algebras. (C) 2011 Elsevier Ltd. All rights reserved.
Combinatorial structures; Maximal abelian dimension; Solvable Lie algebras; Abelian subalgebras; Faithful matrix representation