Title Combinatorial structures and Lie algebras of upper triangular matrices
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
External publication Si
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 1.501
SJR Impact 1.284
Publication date 01/03/2012
ISI 000298201700054
DOI 10.1016/j.aml.2011.09.049
Abstract 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.
Keywords Combinatorial structures; Maximal abelian dimension; Solvable Lie algebras; Abelian subalgebras; Faithful matrix representation
Universidad Loyola members

Change your preferences Manage cookies