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

Si

Lect. Notes Comput. Sci.

Proceedings Paper

Científica

✗

✗

0.322

01/01/2010

000285028600006

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.

Filiform Lie Algebra; Minimal Faithful Unitriangular Matrix Representation; Algorithm