Combinatorial structures and Lie algebras of upper triangular matrices

被引：9
|
作者：
Ceballos, M. [2 ]
Nunez, J. [2 ]
Tenorio, A. F. [1 ]
机构：
[1] Univ Pablo Olavide, Escuela Politecn Super, Dpto Econ Metodos Cuantitativos & Ha Econ, Seville 41013, Spain
[2] Univ Seville, Fac Matemat, Dept Geometria & Topol, E-41080 Seville, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期
关键词：
Combinatorial structures; Maximal abelian dimension; Solvable Lie algebras; Abelian subalgebras; Faithful matrix representation; DIMENSION;
D O I：
10.1016/j.aml.2011.09.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：514 / 519
页数：6
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