Abstract
In this paper, we compute minimal faithful unitriangular matrix representations of filiform Lie algebras. To do it, we use the nilpotent Lie algebra, , formed of n ×n strictly upper-triangular matrices. More concretely, we search the lowest natural number n such that the Lie algebra 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. © 2010 Springer-Verlag Berlin Heidelberg.
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Ceballos, M., Núñez, J., & Tenorio, Á. F. (2010). Computing matrix representations of filiform lie algebras. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6244 LNCS, pp. 61–72). https://doi.org/10.1007/978-3-642-15274-0_6
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