#14775: Symmetric functions: Kronecker product over any ring; Kronecker 
coproduct;
antipode over any ring; forgotten basis over any ring; Witt basis;
Frobenius and Verschiebung; doc fixes
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       Reporter:  darij                                                    |    
     Owner:  sage-combinat
           Type:  enhancement                                              |    
    Status:  needs_review 
       Priority:  major                                                    |    
 Milestone:  sage-5.11    
      Component:  combinatorics                                            |    
Resolution:               
       Keywords:  symmetric function, combinat, kronecker product, days49  |   
Work issues:               
Report Upstream:  N/A                                                      |    
 Reviewers:               
        Authors:  Darij Grinberg                                           |    
 Merged in:               
   Dependencies:                                                           |    
  Stopgaps:               
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Comment (by aschilling):

 > @Anne: I've run some benchmarks (which show that caching the coercions
 to all of the h, e and p bases is a lot better than caching only the one
 to the h basis). But they don't mean very much since Sage, in the absence
 of a direct coercion, looks for a compound coercion by depth-first search
 (which can be, and is in my case, extremely slow). I was too lazy to
 manually register 2-step coercions, so I went a different way and gave the
 user the freedom to decide what coercions to cache.

 Darij, could you post the results of your benchmarks?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14775#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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