This chapter describes the VE (Version~3) share library package for computing matrix representations of finitely presented algebras. See Installing the Vector Enumeration Package for the installation of the package, and the VE manual~Lin93 for details of the implementation.
The default application of VE, namely the function
finitely presented algebras (see chapter Finitely Presented Algebras),
is described in Operation for Finitely Presented Algebras.
More about Vector Enumeration.
In Examples of Vector Enumeration the examples given in the VE manual serve as examples for the use of VE with GAP.
Finally, section Using Vector Enumeration with the MeatAxe shows how the MeatAxe share library (see chapter The MeatAxe) and VE can work hand in hand.
The functions of the package can be used after loading the package with
gap> RequirePackage( "ve" );
The package is also loaded automatically when
Operation is called for the
action of a finitely presented algebra on a quotient module.