Full description
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.