#7753: Coxeter groups: more Bruhat and weak order features [with patch, needs
work]
-----------------------------+----------------------------------------------
   Reporter:  nthiery        |       Owner:  nthiery                       
       Type:  enhancement    |      Status:  needs_work                    
   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:                 |  
-----------------------------+----------------------------------------------
Changes (by bump):

  * status:  needs_review => needs_work


Comment:

 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.

 The definition of Q could be rewritten:

 {{{
 W = WeylGroup("B3")
 sage: fcn = lambda x,y : x.bruhat_le(y)
 sage: Q=Poset((W.list(),fcn))
 }}}

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

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7753#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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