#17798: Create a class for Coxeter matrices and types
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       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  group theory       |   Resolution:
       Keywords:  Coxeter, groups,   |    Merged in:
  matrices, types                    |    Reviewers:
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  5484c5d6077138d6ed79d5d19af38c1f1da120ea
  public/combinat/coxeter_matrices-17798|     Stopgaps:
   Dependencies:                     |
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Comment (by darij):

 Some armchair reviewing (I am not sure if I am up to the actual job): You
 replaced the `coxeter_matrix` method on `CartanType_abstract` by a call to
 the `CoxeterMatrix` constructor, which is heavily ducktyped; you also
 removed the caching. Have you checked for speed regressions? I am also
 unhappy with the ducktyping since it is hard to debug. Does it makes sense
 to build a custom `from_cartan_type` constructor for `CoxeterMatrix` that
 bypasses most of the duckery?

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Ticket URL: <http://trac.sagemath.org/ticket/17798#comment:2>
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