#17798: Create a class for Coxeter matrices and types
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.6
      Component:  group theory       |   Resolution:
       Keywords:  Coxeter, groups,   |    Merged in:
  matrices, types, days64            |    Reviewers:
        Authors:  Travis Scrimshaw,  |  Work issues:
  Jean-Philippe Labbé                |       Commit:
Report Upstream:  N/A                |  f44e52fb40292424c439d90e29ddf0d3c0256b9f
         Branch:                     |     Stopgaps:
  public/combinat/coxeter_matrices-17798|
   Dependencies:  #17990             |
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Comment (by tscrim):

 Since we are now wrapping a matrix, I think instead we should just make
 this either a list of lists or a dict of `(i,j): val` (where undefined
 entries are 2). That way we don't have to worry about the base ring or
 anything like that and we can (easily in the former case) pass that to the
 matrix constructor for those that want to do matrix operations. I'm
 actually leaning towards doing the dict method since most entires of a
 Coxeter matrix that people will use are 2 (at least, that's my current
 imagination). Thoughts?

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Ticket URL: <http://trac.sagemath.org/ticket/17798#comment:17>
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