#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      |  f15f40cd95cd94cd3e4a3b843fd0b257746d43f0
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by darij):

 Not sure if I'm going to be reviewing this (time is short as usual and I'm
 still not good at OOP -- case in point, I don't know what mixins are for),
 but a few remarks.

 First, a trivial group needs no generators. So this
 {{{
 + if self.n <= 1:
 + return (self.one(),)
 }}}
 can be replaced by
 {{{
 + if self.n <= 1:
 + return ()
 }}}

 Second, you are testing for the order-of-multiplication global in
 `has_left_descent` and in `has_right_descent`. I understand the reasoning
 behind it, but I don't like it. Can we agree that the "left" in "left
 descent" stands for "left action" rather than "multiplying with s_i from
 the left", or is this too revisionistic?

--
Ticket URL: <http://trac.sagemath.org/ticket/16926#comment:16>
Sage <http://www.sagemath.org>
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