#6588: Categories for root systems
-----------------------------+----------------------------------------------
   Reporter:  nthiery        |          Owner:  mhansen                 
       Type:  enhancement    |         Status:  new                     
   Priority:  major          |      Milestone:  sage-5.0                
  Component:  combinatorics  |       Keywords:  root systems, categories
Work_issues:                 |       Upstream:  N/A                     
   Reviewer:                 |         Author:  Nicolas M. ThiƩry       
     Merged:                 |   Dependencies:  #10963, #10817          
-----------------------------+----------------------------------------------
Description changed by nthiery:

Old description:

> - RootLatticeRealization and friends are now categories
> - iterator for any Coxeter group
> - facade option for weak_poset's of finite coxeter groups
> - ...
>
> Status: the patch is basically good to go. I still want to add coercions
> from the root lattice to the weight lattice and friends; other than that,
> the math review can start.
>
> Note: the indentation is currently wrong in a couple places (2 spaces
> instead of 4) in order to make the diff small. I'll fix that indentation
> for the very final patch.
>
> The dependency upon #10963 is trivial, and we could commute the two
> patches to get this one in quicker.

New description:

 See the top of the patch for a complete description of the changes.

 Status: the patch is basically good to go. I still want to add coercions
 from the root lattice to the weight lattice and friends; other than that,
 the math review can start.

 Note: the indentation is currently wrong in a couple places (2 spaces
 instead of 4) in order to make the diff small. I'll fix that indentation
 for the very final patch.

 The dependency upon #10963 is trivial, and we could commute the two
 patches to get this one in quicker.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6588#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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