#13372: add functionality for duals of algebras, coalgebras, hopf algebras, etc.
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       Reporter:  saliola                        |         Owner:  AlexGhitza
           Type:  enhancement                    |        Status:  new       
       Priority:  major                          |     Milestone:  sage-5.3  
      Component:  algebra                        |    Resolution:            
       Keywords:  duality, categories, algebras  |   Work issues:            
Report Upstream:  N/A                            |     Reviewers:            
        Authors:                                 |     Merged in:            
   Dependencies:                                 |      Stopgaps:            
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Comment (by saliola):

 Simon raised the following question in the
 [https://groups.google.com/d/topic/sage-combinat-
 devel/LdKONcGfGhU/discussion thread]:

 > Start with an object O in some category C1, take its dual D in C1, and
 > apply the forgetful functor to map it to a sub-category C2; one would
 > not always get the same result as if one first applies the forgetful
 > functor to O and then dualise the result in C2, right?
 >
 > And hence VectorSpaces(QQ)(H.dual()) might (perhaps not here, but in
 > other situations) be different from (VectorSpaces(QQ)(H)).dual().
 > Would that be a problem?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13372#comment:1>
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