#17798: Create a class for Coxeter matrices and types
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       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                |  d0932c325ede70e04db1b659bcfbf86a7b691e06
         Branch:                     |     Stopgaps:
  public/combinat/coxeter_matrices-17798|
   Dependencies:  #17990             |
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Comment (by jipilab):

 Yes... It is a bummer that Coxeter does have a graph with its actual name
 tagged to it!

 In the end, it is just a name, I guess we should try to be consistent in
 the naming convention since we are at it, and I'd like to know how to
 proceed...

 As far as I know, Humphreys is careful not to give the graphs a name. On
 p.1 of Bjoerner&Brenti, they call it a "Coxeter graph (or Coxeter
 diagram)".

 I would vote for Coxeter graph and Dynkin diagram since it emphasizes the
 difference between the two structures. About the confusion with the actual
 Coxeter graph, I believe it is not a so dreadful danger of confusion.

 I think that the Coxeter graph is not so commonly used as to need it
 directly from the sage prompt, right?

 Agreed with refactor common code later.

--
Ticket URL: <http://trac.sagemath.org/ticket/17798#comment:24>
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