#15150: Implement NCSym
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       Reporter:  tscrim            |        Owner:  sage-combinat
           Type:  enhancement       |       Status:  new
       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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Old description:

> Implement the Hopf algebra of symmetric functions in non-commuting
> variables in the following bases:
>
> - monomial
> - elementary
> - homogeneous
> - power-sum
> - x
> - q
>
> as well as the dual basis w.

New description:

 Implement the Hopf algebra of symmetric functions in non-commuting
 variables in the following bases:

 - monomial '''m'''
 - elementary '''e'''
 - homogeneous '''h'''
 - power-sum '''p'''
 - '''x'''
 - '''q'''

 as well as the dual basis '''w'''.

--

Comment (by tscrim):

 Also I just fixed the '''w''' basis multiplication.

--
Ticket URL: <http://trac.sagemath.org/ticket/15150#comment:6>
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