#20170: Implement reflections for affine Weyl groups
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.2
      Component:  combinatorics      |   Resolution:
       Keywords:  reflections, Weyl  |    Merged in:
  groups                             |    Reviewers:  Frédéric Chapoton
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  762aaf1efe5ac7bd31de83ea2757b7b219a16d7d
  public/combinat/reflections_infinite_weyl_groups-20170|     Stopgaps:
   Dependencies:  #20027             |
-------------------------------------+-------------------------------------
Changes (by vbraun):

 * status:  positive_review => needs_work


Comment:

 Probably interaction with some other ticket in beta1:
 {{{
 sage -t --long src/sage/categories/coxeter_groups.py
 **********************************************************************
 File "src/sage/categories/coxeter_groups.py", line 1315, in
 sage.categories.coxeter_groups.CoxeterGroups.ElementMethods.absolute_covers
 Failed example:
     w0.absolute_covers()
 Expected:
     [
     [0 0 0 1]  [0 0 1 0]  [0 1 0 0]  [0 1 0 0]  [0 1 0 0]
     [1 0 0 0]  [1 0 0 0]  [0 0 1 0]  [0 0 0 1]  [1 0 0 0]
     [0 0 1 0]  [0 1 0 0]  [1 0 0 0]  [0 0 1 0]  [0 0 0 1]
     [0 1 0 0], [0 0 0 1], [0 0 0 1], [1 0 0 0], [0 0 1 0]
     ]
 Got:
     [
     [0 0 1 0]  [0 1 0 0]  [0 0 0 1]  [0 1 0 0]  [0 1 0 0]
     [1 0 0 0]  [1 0 0 0]  [1 0 0 0]  [0 0 1 0]  [0 0 0 1]
     [0 1 0 0]  [0 0 0 1]  [0 0 1 0]  [1 0 0 0]  [0 0 1 0]
     [0 0 0 1], [0 0 1 0], [0 1 0 0], [0 0 0 1], [1 0 0 0]
     ]
 **********************************************************************
 1 item had failures:
    1 of   6 in
 sage.categories.coxeter_groups.CoxeterGroups.ElementMethods.absolute_covers
     [469 tests, 1 failure, 16.41 s]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/20170#comment:5>
Sage <http://www.sagemath.org>
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