[GAP Forum] Sophus package for Lie algebras is accepted
gap at gap.zssm.zp.ua
Tue Nov 2 20:25:47 GMT 2004
Dear GAP Forum,
I am very glad to announce that the Sophus package by Csaba Schneider
has been accepted as a refereed GAP package. The package is now
available for download from the GAP www-page http://www.gap-system.org
or FTP sites, and also from the author's homepage at
Following author's description of the package, it is written for
computations 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
The Sophus package works in any operating system where the GAP system
works. Please note that to use Sophus you will also need to install
the AutPGrp package (version >= 1.2) by Bettina Eick and Eamonn
O'Brien, which is available from the GAP site or from
To use Sophus online help, it is necessary to install the GAP4 package
GAPDoc by Frank Luebeck and Max Neunhoeffer, which is available from
the GAP site or http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc/.
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