[GAP Forum] Can GAP3 program ( especially the package CHIEVE) deal with arbitrary Coxeter groups?

[Jean Michel]

On Mon, Dec 15, 2014 at 12:18:01AM +0800, 杨高 wrote:
> In  the mannual,  I only  see examples  concerning finite Coxeter groups.
> Then,  can GAP3 deal  with arbitrary Coxeter  groups, for example, affine
> Weyl  groups, or Coxeter groups in which the multiplication of two simple
> reflections has infinite order?

CHEVIE can work with arbitrary Coxeter groups.
In the manual, look at the functions

CoxeterGroupByCoxeterMatrix
CoxeterGroupByCartanMatrix
Affine

Best regards.
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Jean MICHEL, Groupes et representations, IMJ-PRG UMR7586 tel.(33)157279144
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