Abstract
In this paper, we compute minimal faithful unitriangular matrix representations of filiform Lie algebras. To do it, we use the nilpotent Lie algebra, \(\mathfrak{g}_n\), formed of n ×n strictly upper-triangular matrices. More concretely, we search the lowest natural number n such that the Lie algebra \(\mathfrak g_n\) 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.
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Ceballos, M., Núñez, J., Tenorio, Á.F. (2010). Computing Matrix Representations of Filiform Lie Algebras. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2010. Lecture Notes in Computer Science, vol 6244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15274-0_6
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DOI: https://doi.org/10.1007/978-3-642-15274-0_6
Publisher Name: Springer, Berlin, Heidelberg
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