#5831: [with patch, needs review] reducible root system fixes
---------------------------+------------------------------------------------
 Reporter:  bump           |       Owner:  bump         
     Type:  defect         |      Status:  assigned     
 Priority:  major          |   Milestone:  sage-combinat
Component:  combinatorics  |    Keywords:               
---------------------------+------------------------------------------------
Description changed by bump:

Old description:

> The methods simple_roots(), fundamental_weights() and simple_coroots()
> for the ambient space of a root system are supposed to return a family.
> This was never correctly implemented for the reducible types, and the
> patch corrects this.
>
> There are also some changes in weyl_characters.py, where it was assumed
> that the root system was irreducible in a few places. The patch corrects
> this.
>
> The patch is probably correct but I haven't confirmed that it applies
> cleanly to sage-3.4.1.rc3 or that it passes {{{sage --testall}}} so wait
> to review.

New description:

 The methods simple_roots(), fundamental_weights() and simple_coroots() for
 the ambient space of a root system are supposed to return a family. This
 was never correctly implemented for the reducible types, and the patch
 corrects this.

 There are also some changes in weyl_characters.py, where it was assumed
 that the root system was irreducible in a few places. The patch corrects
 this.

 The patch trac_5831.patch supercedes reducible.patch. It goes on top of
 trac_5751-rebased-3.4.1.rc4.patch.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5831#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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