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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

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