#6629: Implement the abstract ring of multivariate polynomials, with several 
bases
(Schur schubert, ...)
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       Reporter:  nthiery                                                       
             |         Owner:  VivianePons
           Type:  defect                                                        
             |        Status:  new        
       Priority:  major                                                         
             |     Milestone:  sage-5.7   
      Component:  combinatorics                                                 
             |    Resolution:             
       Keywords:  multivariate polynomials, schubert polynomials, non symmetric 
polynomials  |   Work issues:             
Report Upstream:  N/A                                                           
             |     Reviewers:             
        Authors:  Viviane Pons                                                  
             |     Merged in:             
   Dependencies:                                                                
             |      Stopgaps:             
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Changes (by {'newvalue': u'Viviane Pons', 'oldvalue': ''}):

 * cc: VivianePons (added)
  * owner:  mhansen => VivianePons
  * upstream:  => N/A
  * author:  => Viviane Pons


Old description:

> See: http://wiki.sagemath.org/combinat/MultivariatePolynomials

New description:

 We build an implantation of polynomials as formal sum of exponents. This
 allows to work on any number of variables with some easy morphism. We use
 some actions of Weyl group on the exponents to create operators
 (especially divided difference operators).

 These operators allow us to build different bases that comes from geometry
 and have nice combinatorial description.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6629#comment:1>
Sage <http://www.sagemath.org>
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