#14337: implement shuffle algebras
-------------------------------------+--------------------------------------
       Reporter:  chapoton           |         Owner:  AlexGhitza      
           Type:  enhancement        |        Status:  positive_review 
       Priority:  minor              |     Milestone:  sage-5.9        
      Component:  algebra            |    Resolution:                  
       Keywords:  shuffle algebra    |   Work issues:                  
Report Upstream:  N/A                |     Reviewers:  Travis Scrimshaw
        Authors:  Frédéric Chapoton  |     Merged in:                  
   Dependencies:                     |      Stopgaps:                  
-------------------------------------+--------------------------------------

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 by 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.

 Apply:

 * [attachment:trac_14337_shuffle_algebra-fc.patch]
 * [attachment:trac_14337-shuffle_algebra-review-ts.patch]

--

Comment (by chapoton):

 instructions for the bot:

 apply trac_14337_shuffle_algebra-fc.patch trac_14337-shuffle_algebra-
 review-ts.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14337#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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