Title of article
TRIANGULAR CONFIGURATIONS AND LIE ALGEBRAS OF STRICTLY UPPER-TRIANGULAR MATRICES
Author/Authors
CEBALLOS, MANUEL, Universidad de Sevilla - Facultad de Matemáticas - Departamento de Geometría y Topología, Spain , NÚÑEZ, JUAN, Universidad de Sevilla - Facultad de Matemáticas - Departamento de Geometría y Topología, Spain , TENORIO, ÁNGEL F., Universidad Pablo de Olavide - Escuela Politécnica Superior - Dpto de Economía, Métodos Cuantitativos e H a Económica, Spain
From page
62
To page
70
Abstract
This paper studies and analyzes the 2-dimensional combinatorial structure associated with Lie algebra gn, of strictly upper-triangular n ˟ n matrices, where n ϵ {1}. Some walks on this configuration are characterized by means of maximal abelian subalgebras in gn and the obtained results are applied to Representation Theory of Lie algebras
Keywords
Triangular Configuration , Maximal Abelian Dimension , Matrix Algebra , Abelian Subalgebra
Journal title
applied and computational mathematics
Record number
2505371
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