I have just uploaded a new version, specht-1.0.tar.gz, of my SPECHT
package to the incoming directory at Aachen removing the bugs from
the version I put up there in December (if someone at Aachen could
remove the older versions I would be grateful).
This is a pre-release of the SPECHT package. The routines in this package
are pretty much state-of-the-art for calculating the decomposition numbers
for Hecke algebras of the symmetric groups prior to October 1996. Around
this time it became known (and was proved) that there was an easy algorithm
for calculating these decomposition numbers over fields of characteristic
zero. I am in the process of making this algorithm fully functional within
the "SPECHT environment". I hope to have this done by early February; until
then I am making this package available partly so that I can get some
feedback on the package.
As it stands, the package is fully functional; it is just missing the
Lascoux-Leclerc-Thibon algorithm for decomposition numbers over fields
of characteristic zero (the code for this is written but not yet fully
compatible with the general package...).
Regards,
Andrew Mathas
a.mathas@ic.ac.uk