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

preprint2004arXivOpen access

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

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