#14844: Implement cluster algebras with universal coefficients
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       Reporter:  etn40ff           |         Owner:  sage-combinat
           Type:  enhancement       |        Status:  needs_info   
       Priority:  minor             |     Milestone:  sage-5.12    
      Component:  combinatorics     |    Resolution:               
       Keywords:  cluster algebras  |   Work issues:               
Report Upstream:  N/A               |     Reviewers:               
        Authors:  Salvatore Stella  |     Merged in:               
   Dependencies:                    |      Stopgaps:               
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Changes (by stumpc5):

 * cc: gmoose05 (added)
  * status:  new => needs_info


Comment:

 Some random thoughts:

 - if you want a review, set the ticket to needs review, and if you want to
 ping Gregg or whoever, add his trac name (or plain email address) into the
 cc box. This makes it easier and quicker to interact...

 - arxiv links should be inserted as :arxiv:`1202.1506`

 - shouldn't the AND's in
   {{{
   if self._m !=0 and not self.is_bipartite() and not self.is_finite():
       raise ValueError("Universal coefficients are defined only for finite
 type cluster algebras at a bipartite initial cluster")
   }}}
   rather be OR's?

 - isn't there a way to pass around the positive roots issue? Basically by
 providing a method yourself (in {{{quiver_mutation_type.py}}}) which takes
 a finite quiver mutation type and turns it into a Cartan type. This would
 at least make it possible to remove the code duplicity for computing
 positive roots.

 Cheers, Christian

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14844#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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