#18635: Move WeylGroups.ElementMethods.reflection_to_root to
WeylGroups.ParentMethods.reflection_to_positive_root
-------------------------------------+-------------------------------------
       Reporter:  stumpc5            |        Owner:  mshimo
           Type:  defect             |       Status:  new
       Priority:  major              |    Milestone:  sage-6.8
      Component:  categories         |   Resolution:
       Keywords:  weyl groups,       |    Merged in:
  coxeter groups                     |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/18635       |  886b52ada7491c6e6655ddb3c41decde1d04f015
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by stumpc5):

 Replying to [comment:10 tscrim]:
 > Although you should be able to do `w * beta`.

 Are you claiming this works already, or that this ''should'' work?
 {{{
 sage: W = WeylGroup(['A',2])
 sage: w = W.simple_reflection(1)
 sage: beta = w.reflection_to_root()
 sage: w*beta
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 ...
 TypeError: unsupported operand parent(s) for '*': 'Weyl Group of type
 ['A', 2] (as a matrix group acting on the ambient space)' and 'Root
 lattice of the Root system of type ['A', 2]'
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18635#comment:13>
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