#14235: Implements antipode and counit in new_kschur.py
-------------------------------------------------+--------------------------
       Reporter:  zabrocki                       |         Owner:  Mike 
Zabrocki   
           Type:  enhancement                    |        Status:  
positive_review 
       Priority:  minor                          |     Milestone:  sage-5.10    
   
      Component:  combinatorics                  |    Resolution:               
   
       Keywords:  symmetric functions, antipode  |   Work issues:               
   
Report Upstream:  N/A                            |     Reviewers:  Travis 
Scrimshaw
        Authors:  Mike Zabrocki                  |     Merged in:               
   
   Dependencies:  #13743                         |      Stopgaps:               
   
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Description changed by zabrocki:

Old description:

> At t=1 the space where the k-Schur functions live is a Hopf algebra but
> the antipode and counit were never implemented because they were not
> required.  Ticket #14161 adds a test for the antipode that requires a
> counit method and so doc tests in new_kschur.py will fail unless these
> methods are implemented.

New description:

 At t=1 the space where the k-Schur functions live is a Hopf algebra but
 the antipode and counit were never implemented because they were not
 required.  Ticket #14161 adds a test for the antipode that requires a
 counit method and so doc tests in new_kschur.py will fail unless these
 methods are implemented.

 Apply

 * trac_14235_hopf_kschur-mz.patch
 * trac_14235-hopf_kschur-review-ts.patch

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14235#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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