#5457: Refactor symmetric functions and k-bounded subspace
--------------------------------------------------------------------------------+
       Reporter:  nthiery                                                       
|         Owner:  mhansen                    
           Type:  enhancement                                                   
|        Status:  new                        
       Priority:  major                                                         
|     Milestone:  sage-5.4                   
      Component:  combinatorics                                                 
|    Resolution:                             
       Keywords:  symmetric functions, days38, sd40                             
|   Work issues:                             
Report Upstream:  N/A                                                           
|     Reviewers:  Dan Bump, Nicolas M. ThiƩry
        Authors:  Mike Zabrocki, Anne Schilling, Jason Bandlow, Jeroen Demeyer  
|     Merged in:                             
   Dependencies:  #11563, #13109, #12969                                        
|      Stopgaps:                             
--------------------------------------------------------------------------------+
Changes (by jdemeyer):

  * priority:  blocker => major
  * status:  closed => new
  * resolution:  fixed =>
  * merged:  sage-5.3.beta2 =>
  * milestone:  sage-5.3 => sage-5.4


Comment:

 I hate to be the bringer of bad news, but after playing a bit with this
 patch, I think I found an actual bug:
 {{{
 sage: HS3t2 = SymmetricFunctions(QQ).llt(3,t=2).hspin()
 sage: TestSuite(HS3t2).run()
 Failure in _test_associativity:
 Traceback (most recent call last):
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/misc/sage_unittest.py", line 275, in run
     test_method(tester = tester)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/categories/semigroups.py", line 120, in _test_associativity
     tester.assert_((x * y) * z == x * (y * z))
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/categories/algebras.py", line 202, in __mul__
     return self._mul_(right)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/categories/magmas.py", line 361, in _mul_parent
     return self.parent().product(self, other)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/categories/algebras_with_basis.py", line 351, in
 _product_from_combinatorial_algebra_multiply
     m = self._multiply(left, right)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/combinat/sf/llt.py", line 683, in _multiply
     return self( self._m(left) * self._m(right) )
   File "parent.pyx", line 804, in sage.structure.parent.Parent.__call__
 (sage/structure/parent.c:7228)
   File "morphism.pyx", line 243, in
 sage.categories.morphism.SetMorphism._call_
 (sage/categories/morphism.c:4412)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/combinat/sf/llt.py", line 617, in _self_to_m
     return self._m._from_cache(x, self._m_cache, self._self_to_m_cache, t
 = self.t)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/combinat/sf/sfa.py", line 857, in _from_cache
     cache_function(sum(part))
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/combinat/sf/llt.py", line 714, in _m_cache
     self._m_to_self_cache, to_other_function = self._to_m)
   File "/release/sage-5.3.rc1/local/lib/python2.7/site-
 packages/sage/combinat/sf/sfa.py", line 1057, in _invert_morphism
     known_matrix_n[i,j] = value
   File "matrix0.pyx", line 1415, in sage.matrix.matrix0.Matrix.__setitem__
 (sage/matrix/matrix0.c:6745)
   File "matrix0.pyx", line 1520, in
 sage.matrix.matrix0.Matrix._coerce_element (sage/matrix/matrix0.c:7937)
   File "parent.pyx", line 804, in sage.structure.parent.Parent.__call__
 (sage/structure/parent.c:7228)
   File "coerce_maps.pyx", line 82, in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3547)
   File "coerce_maps.pyx", line 77, in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3449)
   File "rational.pyx", line 371, in sage.rings.rational.Rational.__init__
 (sage/rings/rational.c:6534)
   File "rational.pyx", line 484, in
 sage.rings.rational.Rational.__set_value (sage/rings/rational.c:7337)
   File "fraction_field_element.pyx", line 736, in
 sage.rings.fraction_field_element.FractionFieldElement._rational_
 (sage/rings/fraction_field_element.c:7197)
   File "parent.pyx", line 804, in sage.structure.parent.Parent.__call__
 (sage/structure/parent.c:7228)
   File "polynomial_element.pyx", line 6521, in
 sage.rings.polynomial.polynomial_element.ConstantPolynomialSection._call_
 (sage/rings/polynomial/polynomial_element.c:46753)
 TypeError: not a constant polynomial
 ------------------------------------------------------------
 Failure in _test_distributivity:
 [...]
 TypeError: not a constant polynomial
 ------------------------------------------------------------
 Failure in _test_one:
 [...]
 TypeError: not a constant polynomial
 ------------------------------------------------------------
 Failure in _test_prod:
 [...]
 TypeError: not a constant polynomial
 ------------------------------------------------------------
 The following tests failed: _test_associativity, _test_distributivity,
 _test_one, _test_prod
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5457#comment:67>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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