#13505: Implement Bases of NCSF and QSym
------------------------------------------------+--------------------------
       Reporter:  chrisjamesberg                |         Owner:
           Type:  enhancement                   |  chrisjamesberg
       Priority:  major                         |        Status:
      Component:  combinatorics                 |  needs_review
       Keywords:  NCSF QSym                     |     Milestone:  sage-6.0
        Authors:  Chris Berg, Jeffrey Ferreira  |    Resolution:
Report Upstream:  N/A                           |     Merged in:
         Branch:                                |     Reviewers:  Travis
       Stopgaps:                                |  Scrimshaw
                                                |   Work issues:
                                                |  Dependencies:  #14101
------------------------------------------------+--------------------------
Changes (by tscrim):

 * reviewer:  saliola => Travis Scrimshaw
 * dependencies:   => #14101


Old description:

> This patch is an attempt to implement new bases of NCSF and QSym which
> currently exist on the combinat server. This includes the Monomial basis
> and Fundamental basis of Tevlin, the dual of the quasisymmetric Schur
> function introduced by Haglund, Luoto, Mason and van-Willigenburg, the
> Immaculate basis, introduced by Berg, Bergeron, Saliola, Serrano and
> Zabrocki. In QSym, it will implement all of the dual bases of NCSF.
>
> Currently the attached patch implements only the Quasisymmetric Schur
> functions of Haglund, Luoto, Mason, and van-Willigenburg, plus some
> combinatorics of Composition Tableaux

New description:

 This patch is an attempt to implement new bases of NCSF and QSym which
 currently exist on the combinat server. This includes the Monomial basis
 and Fundamental basis of Tevlin, the dual of the quasisymmetric Schur
 function introduced by Haglund, Luoto, Mason and van-Willigenburg, the
 Immaculate basis, introduced by Berg, Bergeron, Saliola, Serrano and
 Zabrocki. In QSym, it will implement all of the dual bases of NCSF.

 Currently the attached patch implements only the Quasisymmetric Schur
 functions of Haglund, Luoto, Mason, and van-Willigenburg, plus some
 combinatorics of Composition Tableaux

 ----

 Apply:

 * [attachment:trac_13505_quasi_schur.4.patch]
 * [attachment:trac_13505-review-ts.patch]

--

Comment:

 Hey Jeff,

 I've uploaded a review patch which moves the composition tableaux into its
 own file and does some minor cleanup of the docstrings and removing
 whitespace. There is a trivial dependency on #14101 in the
 `combinat/all.py`. If you're happy with my changes, go ahead and set this
 to positive review.

 Best,[[BR]]
 Travis

 For patchbot:

 Apply: trac_13505_quasi_schur.4.patch trac_13505-review-ts.patch

--
Ticket URL: <http://trac.sagemath.org/ticket/13505#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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