#15536: Implement symplectic and orthogonal bases of Sym
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  combinatorics      |   Resolution:
       Keywords:  days54, sym        |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/combinat/sf/sp_orth         |  a7ee8574e639366db30427852671b0ee1bfb0cf3
   Dependencies:  #17096             |     Stopgaps:
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Comment (by zabrocki):

 Lets look carefully:
 {{{
 sage: o[2].is_homogeneous()
 True
 sage: s(o[2]).is_homogeneous()
 False
 sage: o.an_element().degree_zero_coefficient()
 2
 sage: s(o.an_element()).degree_zero_coefficient()
 -1
 }}}
 `degree_negation` seems to work fine but that is special for these bases
 (and would not say work for the odd-symplectic basis or irreducible S_n
 character basis).  It would be better if on filtered bases that these
 methods were done by coercion.

--
Ticket URL: <http://trac.sagemath.org/ticket/15536#comment:31>
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