#20027: Different behavior for reflections for matrix Coxeter group and Weyl 
groups
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       Reporter:  tscrim                       |        Owner:  sage-
           Type:  defect                       |  combinat
       Priority:  major                        |       Status:  new
      Component:  combinatorics                |    Milestone:  sage-7.1
       Keywords:  coxeter groups, reflections  |   Resolution:
        Authors:                               |    Merged in:
Report Upstream:  N/A                          |    Reviewers:
         Branch:                               |  Work issues:
   Dependencies:                               |       Commit:
                                               |     Stopgaps:
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Comment (by nthiery):

 Oops, really, `reflections` does not return a collection of reflections?
 It makes sense to index the reflections by roots; and it can be ok to have
 the index set depend on the implementation, and or to return the
 collection as a plain list/tuple. But returning a family of roots indexed
 by reflections feels really weird. I am surprised I did not catch this
 earlier.

 @stumpc5: by default I would indeed wait for a strong use case before
 adding a layer of complexity.

--
Ticket URL: <http://trac.sagemath.org/ticket/20027#comment:2>
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