#15094: QSym: internal coproduct, Frobenius, lambda-of-monomials, documentation
fixes
-------------------------------------------------+-------------------------
       Reporter:  darij                          |        Owner:
           Type:  defect                         |       Status:
       Priority:  major                          |  needs_work
      Component:  combinatorics                  |    Milestone:  sage-5.12
       Keywords:  sage-combinat, qsym, quasi-    |   Resolution:
  symmetric functions                            |    Merged in:
        Authors:  Darij Grinberg                 |    Reviewers:
Report Upstream:  N/A                            |  Work issues:
         Branch:                                 |       Commit:
   Dependencies:  #14775, #13505                 |     Stopgaps:
-------------------------------------------------+-------------------------

Comment (by darij):

 Thanks for the update. Commenting as I'm reading through it:

 Sorry for the trac syntax in the docstrings; that was stupid of me.

 I've changed
 {{{
                         This example demonstrates the non-commutativity of
 the internal
                         coproduct::
 }}}
 into
 {{{
                 This is confirmed by the following Sage computation
 (incidentally
                 demonstrating the non-cocommutativity of the internal
                 coproduct)::
 }}}

 In contexts like
 {{{
 Element methods of the ``Monomial`` basis of ``QuasiSymmetricFunctions.``
 }}}
 the period should be outside of the verbatim mode.

 I added a link to Gessel's paper in the reference list.

 Replaced "degree of the power series" by "total degree of the power
 series".

 "the product by the realization within the polynomial ring" replaced by
 "the product on the realization within the ring of power series".

 The next paragraph now reads
 {{{
     There is a coproduct on `\mathrm{QSym}` as well, which in the Monomial
     basis acts by cutting the composition into a left half and a right
     half. The coproduct is not co-commutative::
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15094#comment:7>
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