#18597: Implement m-Cambrian lattices (using delta sequences)
-------------------------------------+-------------------------------------
       Reporter:  nathanwilliams     |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
  sagedays64.5,catalan,coxeter,cambrian|    Reviewers:  Christian Stump
        Authors:  Nathan Williams    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  49aab49c1afb45314bc444114c8385bc557d5ab5
  u/stumpc5/implement_m_cambrian_lattices__using_delta_sequences_|     Stopgaps:
   Dependencies:  #18590,#18610      |
-------------------------------------+-------------------------------------

Comment (by stumpc5):

 Left to do:

 * recheck that the merge of the two methods worked out (i.e., @Nathan
 please recheck that I did everything right when deleting the cambrian
 stuff from weyl groups and moved it into coxeter groups

 * consider a more intelligent way of accessing roots and their methods
 from the coxeter groups category. At the moment, Weyl groups have an
 ElementMethod {{{reflection_to_root}}}. I think this should be moved into
 the parent as this method is only available for reflections, see also
 #18634 and #18635.

 * provide a preprocessing to turn lists into tuples, otherwise, most users
 will see the error
 {{{
 sage: W = WeylGroup(['A',2])
 sage: W.cambrian_lattice([1,2])
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 ...
 TypeError: unhashable type: 'list'
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18597#comment:18>
Sage <http://www.sagemath.org>
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