#13762: Implement k-bounded quotient space
---------------------------------------------------+------------------------
       Reporter:  chrisjamesberg                   |         Owner:  
chrisjamesberg
           Type:  enhancement                      |        Status:  
needs_review  
       Priority:  major                            |     Milestone:  sage-5.6   
   
      Component:  combinatorics                    |    Resolution:             
   
       Keywords:  symmetric functions, partitions  |   Work issues:             
   
Report Upstream:  N/A                              |     Reviewers:  Anne 
Schilling
        Authors:  Chris Berg, Mike Zabrocki        |     Merged in:             
   
   Dependencies:                                   |      Stopgaps:             
   
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Comment (by aschilling):

 This patch implements the K-k-Schur functions and their duals. I tested
 this code my old private code and it gives the correct answers in the
 cases I checked.

 Chris and Mike, here are a couple more comments I have:

 * When building the documentation I get an error
 {{{
 sage/combinat/sf/new_kschur
 Sphinx error:
 'ascii' codec can't decode byte 0xe2 in position 34698: ordinal not in
 range(128)
 }}}

 * Line 549 of the patch "Returns the symmetric functions. Needed to make
 TestSuite work" probably needs to be changed.

 * You need an extra line after 650.

 * In line 883 of new_kschur (in the patch) the dash is strange
 {{{
 .. [LamSchillingShimozono2010] T. Lam, A. Schilling, M.Shimozono, K-theory
 Schubert calculus of the affine Grassmannian,
         883             Compositio Math. 146 (2010), 811–852.
 }}}
 Also, this reference should probably appear in def K_kschur(self) as well.

 * Line 887 """r  should read r""" (or remove the r)

 So much for now!

 Anne

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13762#comment:13>
Sage <http://www.sagemath.org>
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