#18895: Add support for general c_{ij} for Nakajima monomials and some cleanup
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  combinatorics      |   Resolution:
       Keywords:  crystals,          |    Merged in:
  nakajima monomials                 |    Reviewers:
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  aab22d3f3f48ef63cb46cb3d5c401b2c790af86f
  public/crystals/general_c_monomial-18895|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * status:  new => needs_review
 * branch:   => public/crystals/general_c_monomial-18895
 * milestone:  sage-6.8 => sage-7.2
 * commit:   => aab22d3f3f48ef63cb46cb3d5c401b2c790af86f


Old description:

> With the changes on #18453, computing the weight of an element of the
> monomial crystals has become slow. This ticket aims to speed it up and do
> some other miscellaneous cleanups.

New description:

 The definition allows a choice of a general c,,ij,, matrix such that
 c,,ij,, + c,,ji,, = 1 for all `i != j`.

 We also perform some cleanup:

 - Remove the trailing whitespace at the end of the monomial printing.
 - Only needing to input the dominant weight.
 - Better handling of dictionaries in monomial methods.

--

Comment:

 I am recycling this ticket because I couldn't improve the weight function.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=aab22d3f3f48ef63cb46cb3d5c401b2c790af86f
 aab22d3]||{{{Adding support for general c_{ij} and some cleanup.}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/18895#comment:1>
Sage <http://www.sagemath.org>
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