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Dear GAP forum,

enclosed is the announcement of the new system CHEVIE. This is a package

based on GAP and MAPLE, and is developed jointly by Gerhard Hiss, Frank

L"ubeck, Gunter Malle (Heidelberg), and Meinolf Geck, G"otz Pfeiffer (Aachen).

We should be very grateful for any comments, remarks, bug reports etc.

Kind regards,

G.H., F.L., G.M., M.G., G.P.

-------------------------------------------------------------------------- Announcement of CHEVIE ----------------------

This is to announce the first public release of CHEVIE, a computer

algebra package for symbolic calculations with generic character

tables of groups of Lie type (including Green functions), Weyl groups

and Hecke algebras. It is based on the computer algebra systems GAP

(Lehrstuhl D fuer Mathematik, RWTH Aachen) and MAPLE (The Symbolic

Computation Group, University of Waterloo).

CHEVIE is accompanied by a library of generic character tables, tables

of Green functions, tables of unipotent characters and character

tables of Hecke algebras. Here is a brief sketch of the main features

and contents of CHEVIE.

* Generic ordinary character tables for all series of finite groups of

Lie type of small rank.

* Tables of Green polynomials (for exceptional and classical groups of

low rank, and disconnected groups), and a program for calculating the

Green polynomials for groups of type A.

* Programs for working with these tables (scalar products, tensor

products, structure constants), constructing new tables and viewing

respectively printing them in TeX format.

* Character tables of Hecke algebras for all types of rank at most 7,

and recursive algorithms for computing them for types A and B (the

formulae for type B and rank larger than 7 give the correct result

only conjecturally). Tables and programs for the Weyl groups

themselves are already available through GAP.

* Programs for computing Kazhdan-Lusztig polynomials, left cells and

the corresponding representations for Weyl groups (effective for rank

at most 4).

* A manual with a detailed description of the functions and

illustrating examples.

CHEVIE is a joint project of Meinolf Geck and Goetz Pfeiffer

(Lehrstuhl D fuer Mathematik, RWTH Aachen, Templergraben 64, D-52062

Aachen), and Gerhard Hiss, Frank Luebeck and Gunter Malle (IWR der

Universitaet Heidelberg, Im Neuenheimer Feld 368, D-69120 Heidelberg).

It can be obtained via anonymous ftp through one of the ftp-servers

samson.math.rwth-aachen.de (Internet number: 137.226.152.6)

ftp.iwr.uni-heidelberg.de (Internet number: 129.206.104.40)

'ftp' to one of the servers mentioned above, login as user 'ftp' and give your full e-mail address as password. CHEVIE is in the directory 'pub/chevie'. You will find the two files 'README' and 'chevie_tar.Z'. In uncompressed form, CHEVIE requires 5 MB of disc space. ----------------------------------------------------------------------

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