#7753: Coxeter groups: more Bruhat and weak order features
-----------------------------+----------------------------------------------
   Reporter:  nthiery        |       Owner:  nthiery                       
       Type:  enhancement    |      Status:  needs_review                  
   Priority:  major          |   Milestone:  sage-4.3.1                    
  Component:  combinatorics  |    Keywords:  Bruhat order, Weak order      
Work_issues:                 |      Author:  Nicolas M. ThiƩry, Daniel Bump
   Upstream:  N/A            |    Reviewer:  Daniel Bump                   
     Merged:                 |  
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Changes (by nthiery):

  * status:  needs_work => needs_review


Old description:

> New methods:
>  - bruhat_le (code inspired from code by Daniel Bump)
>  - weak_le
>  - bruhat_poset (finite Coxeter groups)
>  - weak_poset   (finite Coxeter groups)
>
> Improved doctests for related methods

New description:

 New methods:
  - bruhat_le (code inspired from code by Daniel Bump)
  - weak_le
  - bruhat_poset (finite Coxeter groups)
  - weak_poset   (finite Coxeter groups)

 Improved doctests for related methods

 (Trivially) depends on #7842

--

Comment:

 Replying to [comment:2 bump]:
 > This patch implements the bruhat_order as a cached method and is badly
 needed.
 >
 > With Sage 4.3, this raises an exception at the test in
 coxeter_groups.py, line 1010.

 Oops, I forgot that this depended on another patch; now #7842.  As you
 mention, this dependency is trivial though, so we can also work around it
 if #7842 is not merged instantly.

 > Maybe the {{{?!?}}} should be removed from the {{{# long time}}}
 directive
 > a couple of lines later since it is unclear what it means.

 Fixed, and updated the # long time around that line. I was just surprised
 by how much time this was taking. We need more Weyl group optimizations!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7753#comment:3>
Sage <http://www.sagemath.org>
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