#13724: Correct inheritance for relabelled Cartan types
--------------------------------------+-------------------------------------
       Reporter:  JesusTorrado        |         Owner:  joyner                  
         
           Type:  defect              |        Status:  new                     
         
       Priority:  minor               |     Milestone:  sage-5.6                
         
      Component:  group theory        |    Resolution:                          
         
       Keywords:  CartanType relabel  |   Work issues:  Doctests fail for 
type_relabel.py
Report Upstream:  N/A                 |     Reviewers:                          
         
        Authors:  Jesus Torrado       |     Merged in:                          
         
   Dependencies:                      |      Stopgaps:                          
         
--------------------------------------+-------------------------------------
Description changed by JesusTorrado:

Old description:

> Currently, relabelled Cartan types lack some methods such as
> cartan_matrix():
>
> {{{
> sage: A3r = A3.relabel({1:2,2:3,3:1})
> sage: A3 = CartanType("A3")
> sage: A3.cartan_matrix()
> [ 2 -1  0]
> [-1  2 -1]
> [ 0 -1  2]
> sage: A3r = A3.relabel({1:2,2:3,3:1})
> sage: A3r.cartan_matrix()
> ---------------------------------------------------------------------------
> AttributeError                            Traceback (most recent call
> last)
>
> /space/ga98mup/sage-5.4-linux-64bit-
> ubuntu_12.04.1_lts-x86_64-Linux/<ipython console> in <module>()
>
> AttributeError: 'CartanType' object has no attribute 'cartan_matrix'
> }}}
>
> This should be solved by adequate calls to
> CartanType._abstract._add_abstract_superclass().
>
> Related discussion in sage-combinat-devel:
> https://groups.google.com/forum/?fromgroups=#!topic/sage-combinat-devel
> /On-VfvxjeDk
>
> Current issues:
>
> - Doctests fail for type_relabel.py (related to dynamic classes?)

New description:

 Currently, relabelled Cartan types lack some methods such as
 cartan_matrix():

 {{{
 sage: A3 = CartanType("A3")
 sage: A3.cartan_matrix()
 [ 2 -1  0]
 [-1  2 -1]
 [ 0 -1  2]
 sage: A3r = A3.relabel({1:2,2:3,3:1})
 sage: A3r.cartan_matrix()
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call
 last)

 /space/ga98mup/sage-5.4-linux-64bit-
 ubuntu_12.04.1_lts-x86_64-Linux/<ipython console> in <module>()

 AttributeError: 'CartanType' object has no attribute 'cartan_matrix'
 }}}

 This should be solved by adequate calls to
 CartanType._abstract._add_abstract_superclass().

 Related discussion in sage-combinat-devel:
 https://groups.google.com/forum/?fromgroups=#!topic/sage-combinat-devel
 /On-VfvxjeDk

 Current issues:

 - Doctests fail for type_relabel.py (related to dynamic classes?)

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13724#comment:1>
Sage <http://www.sagemath.org>
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