#5794: [with patch, needs review] exceptional and reducible type branching rules
--------------------------+-------------------------------------------------
 Reporter:  bump          |       Owner:  bump         
     Type:  enhancement   |      Status:  assigned     
 Priority:  major         |   Milestone:  sage-combinat
Component:  group_theory  |    Keywords:  lie groups   
--------------------------+-------------------------------------------------
Description changed by bump:

Old description:

> The first patch implements branching rules to the following subgroups of
> Lie groups:
>
> {{{
> G2 => A1 (along short root)
> G2 => A2
> B3 => G2
> D4 => G2
> }}}
>
> The second patch implements branching rules:
>
> {{{
> F4 => B3
> F4 => C3
> F4 => B4
> }}}
>
> They go on top of the following patches:
>
> {{{
> trac_5721-a.patch
> trac_5721-b.patch
> trac_5751.patch
> }}}

New description:

 The patch {{{trac_5794-revised.patch}}} supercedes
 the other two patches. It applies cleanly on sage-3.4.2.rc0.
 Patch summary:

 {{{

 - new branching rules, including exceptional and reducible types
 - all new rules have tests but slower F4 tests are # long time
 - bugfix: reducible root system methods simple_roots etc. return families
 - Cartan Types B, C and D allow low rank cases such as D2, B1 and C1
 - WeylCharacterRings: new style="coroots" option gives output similar to
 published tables
 - WeylCharacterRings: methods for rank, simple_roots etc.
 - doc revision in weyl_characters.py
 }}}

 This patch contains #5831. If this patch is merged, that ticket may be
 closed.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5794#comment:9>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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