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TRIANGULAR CONFIGURATIONS AND LIE ALGEBRAS OF STRICTLY UPPER-TRIANGULAR MATRICES

Authors

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

External publication

No

Means

Appl. Comput. Math.

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

0.452

SJR Impact

0.459

Publication date

01/01/2014

ISI

000332593000006

Abstract

This paper studies and analyzes the 2-dimensional combinatorial structure associated with Lie algebra g(n), of strictly upper-triangular n x n matrices, where n is an element of N \ {1}. Some walks on this configuration are characterized by means of maximal abelian subalgebras in g(n), and the obtained results are applied to Representation Theory of Lie algebras.

Keywords

Triangular Configuration; Maximal Abelian Dimension; Matrix Algebra; Abelian; Subalgebra.

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