The Sophus package is written to compute with nilpotent Lie algebras
over finite prime fields.  Using this package, you can compute the
cover, the list of immediate descendants, and the automorphism group of
such Lie algebras.  You can also test if 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; see
http://www.sztaki.hu/~schneider/Research/SmallL….

• Leontiy Volodin

• gap-sophus