#11187: Implementation of finite reflection groups
-------------------------------------+-------------------------------------
       Reporter:  stumpc5            |        Owner:  tbd
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  combinatorics      |   Resolution:
       Keywords:  reflection group,  |    Merged in:
  days49, days64.5, days80           |    Reviewers:
        Authors:  Christian Stump    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/11187       |  c5c43bcba449039892cecb0d18238b4bf87e8a7f
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by stumpc5):

 * keywords:  reflection group, days49, days 64.5 => reflection group,
     days49, days64.5, days80
 * status:  needs_work => needs_review
 * dependencies:  #20107 =>


Old description:

> This patch implements reflection groups to work with finite
> (crystallographic, real, complex) reflection groups. It is based on the
> GAP3 package **chevie**.
> {{{
> sage: W = ReflectionGroup(['A',2],5,23); W
> Reducible complex reflection group of rank 7 and type A2 x ST5 x H3
> sage: W.irreducible_components()
> [Irreducible real reflection group of rank 2 and type A2,
>  Irreducible complex reflection group of rank 2 and type ST5,
>  Irreducible real reflection group of rank 3 and type H3]
> }}}
>
> To install `chevie`, one needs to download it from Jean Michel's website
> http://webusers.imj-prg.fr/~jean.michel/gap3/, update some paths in
> `GAP3_folder/bin/gap.sh` and make this file execute when typing `gap3`
> inside the sage shell. I wouldn't think this is superhard to make an
> optional package as discussed at #8906.

New description:

 This patch implements reflection groups to work with finite
 (crystallographic, real, complex) reflection groups. It is based on the
 GAP3 package **chevie** which is now an experimental package, see #20107..
 {{{
 sage: W = ReflectionGroup(['A',2],5,23); W
 Reducible complex reflection group of rank 7 and type A2 x ST5 x H3
 sage: W.irreducible_components()
 [Irreducible real reflection group of rank 2 and type A2,
  Irreducible complex reflection group of rank 2 and type ST5,
  Irreducible real reflection group of rank 3 and type H3]
 }}}

 To install `chevie`, one needs to download it from Jean Michel's website
 http://webusers.imj-prg.fr/~jean.michel/gap3/, update some paths in
 `GAP3_folder/bin/gap.sh` and make this file execute when typing `gap3`
 inside the sage shell. I wouldn't think this is superhard to make an
 optional package as discussed at #8906.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/11187#comment:236>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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