#15384: Improvements to root systems
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  positive_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorics      |   Resolution:
       Keywords:  root systems,      |    Merged in:
  days54                             |    Reviewers:  Daniel Bump
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  f4cee52a23d5d1c0092100981c46c04dd59dbc37
  public/combinat/root_systems/improvements-15384|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by bump):

 * status:  needs_review => positive_review
 * reviewer:  Dan Bump => Daniel Bump


Comment:

 This patch implements some important things from Chapter 6 of Kac' book
 for both twisted and untwisted affine Lie algebras, as methods of the
 root_lattice_realization or the weight_lattice_realization. These include
 a method of enumerating the positive roots (both real and imaginary), the
 invariant bilinear form, and a few other things. I tested with Kac' book
 in front of me, and all the problems I found have been addressed.

--
Ticket URL: <http://trac.sagemath.org/ticket/15384#comment:36>
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