I just noticed this post to the arXiv.  Is Meinholf Geck in touch with
Sage?

--Dave

Title: PyCox: Computing with (finite) Coxeter groups and Iwahori-Hecke
algebras
Authors: Meinolf Geck
Categories: math.RT
Comments: 31 pages
MSC-class: 20C40, 20C08
\\
  We introduce the computer algebra package {\sf PyCox}, written
entirely in
the {\sf Python} language. It implements a set of algorithms - in a
spirit
similar to the older {\sf CHEVIE} system - for working with Coxeter
groups and
Hecke algebras. This includes a new variation of the traditional
algorithm for
computing Kazhdan-Lusztig cells and $W$-graphs, which works
efficiently for all
groups of rank $\leq 8$ (except $E_8$). Our experiments suggest a re-
definition
of Lusztig's "special" representations which, conjecturally, should
also apply
to the unequal parameter case.
\\ ( http://arxiv.org/abs/1201.5566 ,  39kb)

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