#6588: Categories for root systems
--------------------------------------------------------+-------------------
   Reporter:  nthiery                                   |          Owner:  
mhansen                 
       Type:  enhancement                               |         Status:  
needs_review            
   Priority:  major                                     |      Milestone:  
sage-5.0                
  Component:  combinatorics                             |       Keywords:  root 
systems, categories
Work_issues:                                            |       Upstream:  N/A  
                   
   Reviewer:  Anne Schilling, Mark Shimozono, PatchBot  |         Author:  
Nicolas M. ThiƩry       
     Merged:                                            |   Dependencies:  
#10817                  
--------------------------------------------------------+-------------------

Comment(by nthiery):

 Replying to [comment:16 aschilling]:
 > You are welcome. I hope you will return the favor for trac_12536
 -linear_extensions-as.patch!

 I sure will, soon!

 > > Crystals are only implemented in sage.combinat.crystals (so far). But
 > > this names an area of mathematics. So this fits a bit more the first
 > > case.
 >
 > No, there is a lot of crystal code in /sage/categories: crystals,
 finite_crystals, highest_weight_crystals, ....

 I meant: the crystals themselves (CrystalOfLetter, KR, ...) are all in
 implemented in sage.combinat.crystals.

 > Why can't fundamental_weights when "extended" is set also include
 > `delta`? This would at least fit with the notational abuse of
 > fundamental_weight.

 Because we want to do things like:

     sage: x in self.fundamental_weights()

     sage: all(L.some_property() for L in self.fundamental_weights())

 So adding delta would change the semantic of fundamental_weights.
 Whereas the current abuse of fundamental_weight can't break any code.

 > I also wrote another very small reviewer's patch that you can fold in.

 I don't see it on the queue; did you push?

 Thanks!
                      Nicolas

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6588#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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