#15150: Implement NCSym
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       Reporter:  tscrim            |        Owner:  sage-combinat
           Type:  enhancement       |       Status:  needs_review
       Priority:  major             |    Milestone:  sage-5.12
      Component:  combinatorics     |   Resolution:
       Keywords:                    |    Merged in:
        Authors:  Travis Scrimshaw  |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:  #15143            |     Stopgaps:
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Comment (by darij):

 Sorry, but what does this mean:

 {{{
         496                 def to_ncsym_on_basis(self, I):
         497                     r"""
         498                     The image of the basis element indexed by
 ``I`` under the
         499                     map to the symmetric functions in non-
 commuting
         500                     variables that fixes the usual symmetric
 functions.
 }}}

 How can a map from NSym to something fix the usual symmetric functions if
 the latter aren't a subspace of NSym? (Same question for both
 {{{to_ncsym}}} methods.)

 Oooh, I think you mean "commutes with the projection onto the usual
 symmetric functions". Maybe clarify this?

--
Ticket URL: <http://trac.sagemath.org/ticket/15150#comment:41>
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