#16926: Merge the features of SymmetricGroupAlgebra and SymmetricGroup.algebra
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/combinat/fix_sga-16926      |  caf4f43a19035e37cb4b4c67f0f040af84783c9e
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by darij):

 Part of the review done (sorry, I'm slow). I fear I need explanations on
 this:
 {{{
 +        def __mul__(self, other):
 +            r"""
 +            Multiply ``self`` and ``other``.
 +
 +            EXAMPLES::
 +
 +                sage: P = Permutations(4)
 +                sage: P.simple_reflection(1) * Permutation([6,5,4,3,2,1])
 +                [5, 6, 4, 3, 2, 1]
 +            """
 +            if (not isinstance(other, StandardPermutations_n.Element)
 +                or self.parent() != other.parent()):
 +                return Permutation.__mul__(self, other)
 +            return self._mul_(other)
 +
 +        def _mul_(self, other):
 +            r"""
 +            Multiply ``self`` and ``other``.
 +
 +            EXAMPLES::
 +
 +                sage: P = Permutations(4)
 +                sage: P.prod(P.gens()).parent() is P
 +                True
 +            """
 +            p = list(Permutation.__mul__(self, other))
 +            return self.__class__(self.parent(), p)
 }}}
 or someone else will have to vow for its correctness.

--
Ticket URL: <http://trac.sagemath.org/ticket/16926#comment:29>
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