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Publicaciones

Computing Matrix Representations of Filiform Lie Algebras

Authors

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

External publication

Si

Means

Lect. Notes Comput. Sci.

Scope

Proceedings Paper

Nature

Científica

JCR Quartile

✗

SJR Quartile

✗

SJR Impact

0.322

Publication date

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.

Keywords

Filiform Lie Algebra; Minimal Faithful Unitriangular Matrix Representation; Algorithm