#17798: Create a class for Coxeter matrices and types
-------------------------------------+-------------------------------------
       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:                     |
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'Travis Scrimshaw', 'oldvalue': ''}):

 * status:  new => needs_review
 * commit:   => 5484c5d6077138d6ed79d5d19af38c1f1da120ea
 * branch:   => public/combinat/coxeter_matrices-17798
 * author:   => Travis Scrimshaw


Old description:

> This is a partial step towards #16126, but carries the necessary
> information to speed up #16630 when the input is given as a finite
> Cartan/Coxeter type.

New description:

 This is a partial step towards #16126, but carries the necessary
 information to speed up #16630 when the input is given as a finite
 !Cartan/Coxeter type.

--

Comment:

 Here's a working version that implements a class `CoxeterMatrix` and a
 generic `CoxeterType` coming from a `CartanType`. I also removed some
 deprecated code.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=d31d2863d06743075069dd3d027f9afd34b68bc0
 d31d286]||{{{Merge branch 'public/ticket/16630' of trac.sagemath.org:sage
 into public/combinat/coxeter_matrices-17798}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=1dddd2087f0a69a5f0ca874dad5d738316b6293d
 1dddd20]||{{{Initial creation of the files.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=1aadfbe3a93da9485ea2782252a66e8ea0ae2651
 1aadfbe]||{{{Merge branch 'develop' into
 public/combinat/coxeter_matrices-17798}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=f7fd3ac80c252305c15acec3cb47807bba010ad9
 f7fd3ac]||{{{Merge branch 'develop' into
 public/combinat/coxeter_matrices-17798}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=5484c5d6077138d6ed79d5d19af38c1f1da120ea
 5484c5d]||{{{Making all doctests pass and removing some deprecated
 code.}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/17798#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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