Título Computing Matrix Representations of Filiform Lie Algebras
Autores CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
Publicación externa Si
Medio Lect. Notes Comput. Sci.
Alcance Proceedings Paper
Naturaleza Científica
Cuartil JCR 4
Cuartil SJR 2
Impacto SJR 0.32200
Fecha de publicacion 01/01/2010
ISI 000285028600006
Abstract In this paper, we compute minimal faithful unitriangular matrix representations of filiform Lie algebras. To do it, we use the nilpotent Lie algebra, g, formed of n x n strictly upper-triangular matrices. More concretely, we search the lowest natural number a such that the Lie algebra g contains a given filiform Lie algebra, also computing a representative of this algebra. All the computations in this paper have been done using MAPLE 9.5.
Palabras clave Filiform Lie Algebra; Minimal Faithful Unitriangular Matrix Representation; Algorithm
Miembros de la Universidad Loyola

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