Abstract
We consider the connected integer gradations on a type of n dimensional nilpotent Lie algebras. We study the case where the number of non trivial subspaces is n - 1 for those gradations, when the nilindex of the algebras is n - 2 (quasi-filiform Lie algebras). We show how Symbolic Calculus can be useful to obtain the classification of such a family of graded algebras, which is determined for n ≤ 15.
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© 2001 Springer-Verlag Berlin Heidelberg
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Gómez, J.R., Jiménez-Merchán, A., Reyes, J. (2001). Low-Dimensional Quasi-Filiform Lie Algebras with Great Length. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC 2001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56666-0_20
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DOI: https://doi.org/10.1007/978-3-642-56666-0_20
Publisher Name: Springer, Berlin, Heidelberg
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