#18645: Add some methods to CartanMatrix
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       Reporter:  jonathan.judge     |        Owner:  jonathan.judge
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:  days65             |    Merged in:
        Authors:                     |    Reviewers:  Ben Salisbury
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jonathan.judge/add_some_methods_to_cartanmatrix|  
7e17029e1388141ba3cce2f160adc296afb18fcb
   Dependencies:                     |     Stopgaps:
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Comment (by tscrim):

 It sounds like Jean-Philippe and I are in agreement that finite types
 include decomposable types whose pieces are all finite. This makes me also
 believe that we should have affine types include decomposable types whose
 pieces are all finite or affine. This would mean that the hyperbolic types
 are those of level 1 (and forced to be connected).

 I'm also okay calling those Cartan types with a signature of (n-1,1,0) as
 Lorentzian and those of (m,1,k) being degenerate Lorentzian. However I do
 think we should call the (strict) level 1 Lorentzian (resp., compact)
 hyperbolic to be as close with the classical literature as possible.

--
Ticket URL: <http://trac.sagemath.org/ticket/18645#comment:12>
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