#13250: Additional poset examples
-------------------------------------+-------------------------------------
       Reporter:  csar               |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  combinatorics      |   Resolution:
       Keywords:  sd40, posets       |    Merged in:
        Authors:  Alex Csar,         |    Reviewers:  Jori Mäntysalo
  Frédéric Chapoton                  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/chapoton/13250   |  95ee8c5061b5caab5f67257975a7a9310681e1be
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by tscrim):

 Replying to [comment:58 chapoton]:
 > I have tried to use "reflections()". This forced me to change the
 behaviour of the existing reflections method for finite Weyl groups.

 It does not look like need to change the behavior of `reflections()`, but
 just need to get the keys with `reflections().keys()`. However, I do agree
 that there is some ambiguity with `reflections` in the sense of Coxeter
 groups. This latter issue warrants a separate discussion/ticket.

 > Where should I put a "method for elements of the symmetric group" ? I
 have not found the place to do so.

 We probably need to add such a class. I can do that.

 > The usual length is not cached. Why should I cache absolute length ?

 I didn't say cache it, but what I said was somewhat vague. I meant store
 it as a variable before you run the list comprehension in
 `absolute_covers`.

 > Maybe it would be better to split this ticket into the part that Jori
 can review and the part about absolute order ?

 We can do one of 3 things:

 1 - include it all here,
 2 - make it a dependency, or
 3 - make it a completely separate issue.

 Although the absolute order/length things I can finish with things
 tomorrow (Monday) too. So personally I'm in favor of 1.

--
Ticket URL: <http://trac.sagemath.org/ticket/13250#comment:59>
Sage <http://www.sagemath.org>
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