gap-sophus
GAP: Computing in nilpotent Lie algebras
The Sophus package computes nilpotent Lie algebras over finite prime fields. The cover, the list of immediate descendants, and the automorphism group of such Lie algebras can be computed and tested for whether two such Lie algebras are isomorphic. The immediate descendant function of the package can be used to classify small-dimensional nilpotent Lie algebras over a given field. For instance, the package author obtained a classification of nilpotent Lie algebras with dimension at most 9 over F_2.
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