Triangular Configurations and Strictly Upper-Triangular Matrices Lie Algebras
- Manuel Ceballos 1
- Juan Núñez 1
- Ángel F. Tenorio 2
-
1
Universidad de Sevilla
info
-
2
Universidad Pablo de Olavide
info
- García Olaverri, Alfredo (ed. lit.)
- Tejel, Javier (ed. lit.)
Publisher: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza
ISBN: 978-84-92774-11-1
Year of publication: 2009
Pages: 165-171
Type: Book chapter
Abstract
This paper shows how to associate the Lie algebra gn (n 2 N), of n×n strictly upper-triangular matrices, with a specific 2-dimensional triangular configuration. The properties of those configurations are analyzed here by using Graph Theory and, finally, applied to obtain some results about Representation Theory for nilpotent Lie algebras.