#14775: Symmetric functions: extending Kronecker product, implementing Kronecker
product, extending antipode, extending forgotten basis, implementing Witt
basis
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       Reporter:  darij                                                    |    
     Owner:  sage-combinat
           Type:  enhancement                                              |    
    Status:  needs_info   
       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 nthiery):

 Replying to [comment:9 darij]:
 > 1) Is it a good idea to also use cache for e-to-w and w-to-e? (The
 downside is that there will be more caches in memory.) Same for p-to-w (my
 current implementation is cacheless, thus not as fast as it could be) and
 w-to-p.

 Only practice will tell, and you'll probably be the one putting this
 most to practice; I'd say don't cache for now, and see later if
 you need it.

 And at some point in the future we would want a mechanism that would
 allow the user to specify which caches he want to use for his own
 preferred application.

 > 2) If I implement these maps, should I register them as coersions?
 > (This would normally make sense, but I fear they could significantly
 > slow down coercions between standard classical bases because of the
 > asinine way the current system generates coercion paths.)

 Go ahead. For most classical basis, Symmetrica provides a direct
 conversion, and when there is one the coercion system is not as stupid
 as using his depth first search :-)

 In any case, if something would need to be fixed, it's the coercion
 system, not the usage of coercions as above.

 Cheers,
                               Nicolas

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14775#comment:12>
Sage <http://www.sagemath.org>
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