A computer-based approach to the classification of nilpotent Lie algebras

Details A computer-based approach to the classification of nilpotent Lie algebras A computer-based approach to the classification of nilpotent Lie algebras

2004-06-18

arxiv.org/abs/math/0406365v2

Mathematics

Rings and Algebras

submitted

Scientific paper

We adopt the $p$-group generation algorithm to classify small-dimensional
nilpotent Lie algebras over small fields. Using an implementation of this
algorithm, we list the nilpotent Lie algebras of dimension at most~9 over
$\F_2$ and those of dimension at most~7 over $\F_3$ and $\F_5$.

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