The symmetry package in Maple
by K. Gatermann (FU/ZIB Berlin), F. Guyard (Universite de Nice)
This is a Maple package
which can be used as a tool in equivariant dynamical systems.
The questions centered around the generic equivariant vector field
are considered. Both finite groups and continuous groups are supported.
The topics are
 Molien series for invariant ring and module of equivariants
 completeness of invariant ring or module of equivariants
 fundamental invariants for finite groups by Sturmfels algorithm
 fundamental equivariants for finite groups
 fundamental invariants and equivariants for continuous groups
 invariants for torus group action
 orbit space reduction
 buildin knowledge of finite groups and compact Lie groups
 algebraic groups
 Derksen's algorithm for computation of invariants of algebraic groups
The package comes with

 a documentation  manualsym.ps
 a installation test file  symmetry.test
 two worksheets with examples  symmetry.txt, symmetrycg.txt
 the Maple source Code  symmetry
You may pick up the file by pressing the underlined name
and save it to your local directory. Depending on whether
your netscape or mosaic already uncompresses it you give it the
name symmetry3.2.tar.Z or symmetry3.2.tar.
 Unpack the file:
 If your mosaic or netscape does not uncompress it
 uncompress symmetry3.2.tar.Z
 Then
 tar xvf symmetry3.2.tar
 unpacks the Maple code, a documentation and a test file into the directory
 symmetry3.2
Using the symmetry package you will need as well
the moregroebner package
which you get by www in the same way.
Last Update: September 22, 2000 by
Karin Gatermann
© 1999 by KonradZuseZentrum für Informationstechnik Berlin (ZIB)
URL:
http://www.zib.de/gatermann/symmetry.html