#11187: Implementation of finite reflection groups
-------------------------------------+-------------------------------------
       Reporter:  stumpc5            |        Owner:  tbd
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:  reflection group,  |    Merged in:
  days49, days 64.5                  |    Reviewers:
        Authors:  Christian Stump    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  e3b047bff2bd12f99a3fbea87f5417cd2c012745
  u/stumpc5/11187-new                |     Stopgaps:
   Dependencies:  #18620             |
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Changes (by stumpc5):

 * keywords:  reflection group, days49 => reflection group, days49, days
               64.5


Old description:

> This patch adds a function
>
> {{{
> sage: FiniteReflectionGroup(classification_type)
> }}}
>
> to work with finite (crystallographic, real, complex) reflection groups.
> It uses the data from GAP3/chevie.

New 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]
 }}}

--

--
Ticket URL: <http://trac.sagemath.org/ticket/11187#comment:83>
Sage <http://www.sagemath.org>
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