#8899: Implement non commutative symmetric functions
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       Reporter:  nthiery                                                       
|         Owner:  sage-combinat                                            
           Type:  enhancement                                                   
|        Status:  needs_work                                               
       Priority:  major                                                         
|     Milestone:  sage-wishlist                                            
      Component:  combinatorics                                                 
|    Resolution:                                                           
       Keywords:  sd40                                                          
|   Work issues:  include new files in documentation ; clean up ReST markup
Report Upstream:  N/A                                                           
|     Reviewers:                                                           
        Authors:  Jason Bandlow, Chris Berg, Franco Saliola, Nicolas M. ThiƩry  
|     Merged in:                                                           
   Dependencies:  #12953, #12956, #12959, #13238, #13243                        
|      Stopgaps:                                                           
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Comment (by saliola):

 Replying to [comment:13 saliola]:
 > Two new small patches.
 >
 > 1. {{{trac_11929_8899-fix_skewby-fs.patch:}}} Fixes things so that the
 following raises an error:
 > {{{
 > F([2,1]).skew_by([1])
 > }}}
 >
 > 2. {{{trac_11929_8899-add_degree_to_elementmethods-fs.patch:}}} addes
 {{{ElementMethods.degree}}} and {{{ElementMethods.is_homogeneous}}} to
 {{{GradedAlgebrasWithBasis}}} (I extracted these from a separate patch on
 the sage-combinat queue).
 >
 > '''Outstanding question about the degree of an element:''' what do we
 want as the default behaviour? Should it:
 > a. raise an error if the element is not homogeneous; or
 > b. return the maximum of the degrees of the homogeneous summands?

 Based on the [https://groups.google.com/d/topic/sage-combinat-
 devel/pTjdBFeePWg/discussion discussion on sage-combinat-devel], I updated
 [attachment:trac_11929_8899-add_degree_to_elementmethods-fs.patch]:
 - add methods {{{maximal_degree}}} and {{{homogeneous_degree}}} in
 {{{GradedAlgebrasWithBasis}}}
 - as a default in {{{GradedAlgebrasWithBasis}}}, set {{{degree =
 homogeneous_degree}}}
 - for NCSF/QSym, {{{degree}}} is redefined to be {{{maximal_degree}}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8899#comment:14>
Sage <http://www.sagemath.org>
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