Software
LieAlgDB: This is a package for the system GAP4. The package provides with a computational interface to several classifications of small-dimensional Lie algebras, such as solvable Lie algebras of dimension at most 4, nilpotent and non-solvable Lie algebras of dimension at most 6. It is joint work with Willem de Graaf and Serena Cicalo.
Sophus: This GAP4 package is an implementation of the procedures that are necessary to buid a nilpotent Lie algebra generation algorithm. It was used to obtain classifications of nilpotent Lie algebras of small dimension over small finite fields.
Nilpotent Lie algebras of dimension at most 9 over GF(2) and those of dimension at most 7 over GF(3) and GF(5) can be found in GAP4 format following this link.
LAGUNA: This is a GAP4 package that contains implementations of several algorithms for computing in modular group algebras.
(c) 2012 All rights reserved. Csaba Schneider.