#14102: Nonsymmetric Macdonald Polynomials for all affine types
-------------------------------------+-------------------------------------
       Reporter:  bump               |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-pending
      Component:  combinatorics      |   Resolution:
       Keywords:  Nonsymmetric       |    Merged in:
  Macdonald polynomials, days40,     |    Reviewers:  Anne Schilling,
  days45, days49, days54             |  Nicolas M. Thiéry, Mark Shimozono,
        Authors:  Nicolas M.         |  Bogdan Ion
  Thiéry, Anne Schilling             |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  ea4af15ac39244296094c00eef12ad0204298f01
  public/combinat/nonsymmetric_macdonald-14102|     Stopgaps:
   Dependencies:  #4327, #14143,     |
  #13589, #10963, #14673, #14610,    |
  #14775, #15931                     |
-------------------------------------+-------------------------------------
Changes (by nthiery):

 * dependencies:  #4327, #14143, #13589, #10963, #14673, #14610, #14775 =>
     #4327, #14143, #13589, #10963, #14673, #14610, #14775, #15931


Old description:

> This ticket implements nonsymmetric Macdonald polynomials for
> arbitrary affine Cartan type (including twisted and BC, but not
> Koornwinder) using the recursion formula in terms of Demazure-Lusztig
> and Cherednik operators. It complements the type-A implementation
> based on the HHL combinatorial formula of #2708.
>
> This patch was written by Anne Schilling and Nicolas M. Thiéry during
> the ICERM Semester Program on "Automorphic Forms, Combinatorial
> Representation Theory and Multiple Dirichlet Series" (January 28,
> 2013 - May 3, 2013) with the help of Dan Bump, Ben Brubaker, Bogdan
> Ion, Dan Orr, Arun Ram, Siddhartha Sahi, and Mark Shimozono. Special
> thanks go to Bogdan Ion and Mark Shimozono for their patient
> explanations and hand computations to check the code.
>
> In a follow-up ticket #14847 Whittaker functions and other features will
> become available.
>
> Apply: [attachment:trac_14102-nonsymmetric-macdonald.2.patch​]

New description:

 This ticket implements nonsymmetric Macdonald polynomials for
 arbitrary affine Cartan type (including twisted and BC, but not
 Koornwinder) using the recursion formula in terms of Demazure-Lusztig
 and Cherednik operators. It complements the type-A implementation
 based on the HHL combinatorial formula of #2708.

 This patch was written by Anne Schilling and Nicolas M. Thiéry during
 the ICERM Semester Program on "Automorphic Forms, Combinatorial
 Representation Theory and Multiple Dirichlet Series" (January 28,
 2013 - May 3, 2013) with the help of Dan Bump, Ben Brubaker, Bogdan
 Ion, Dan Orr, Arun Ram, Siddhartha Sahi, and Mark Shimozono. Special
 thanks go to Bogdan Ion and Mark Shimozono for their patient
 explanations and hand computations to check the code.

 In a follow-up ticket #14847 Whittaker functions and other features will
 become available.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/14102#comment:62>
Sage <http://www.sagemath.org>
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