#14337: implement shuffle algebras
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       Reporter:  chapoton         |         Owner:  AlexGhitza
           Type:  task             |        Status:  new       
       Priority:  minor            |     Milestone:  sage-5.9  
      Component:  algebra          |    Resolution:            
       Keywords:  shuffle algebra  |   Work issues:            
Report Upstream:  N/A              |     Reviewers:            
        Authors:                   |     Merged in:            
   Dependencies:                   |      Stopgaps:            
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Old description:

> It would be nice to be able to compute in the shuffle algebra over an
> alphabet.
>
> The underlying vector space is spanned by words, and the product is
> commutative, given the sum over all shuffles of words.

New description:

 It would be nice to be able to compute in the shuffle algebra over an
 alphabet.

 The underlying vector space is spanned by words, and the product is
 commutative, given by the sum over all shuffles of words.

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Comment (by chapoton):

 new patch, there remains one doctest failing, which puzzles me so far

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14337#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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