#18767: Integrable Representations of Twisted Affine Lie algebras
-------------------------------------+-------------------------------------
       Reporter:  bump               |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.9
      Component:  combinatorics      |   Resolution:
       Keywords:  Integrable         |    Merged in:
  Representations, Twisted Affine    |    Reviewers:  Travis Scrimshaw
  Lie Algebras                       |  Work issues:
        Authors:  Daniel Bump,       |       Commit:
  Valentin Buciumas                  |  3966f09d89f5d0c66eb6f803f1a91efd3e0bd979
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  public/combinat/twisted_affine-18767|
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by tscrim):

 I've done my reviewer changes, and I obtained some good speed
 improvements:
 {{{
 sage: Lambda =
 RootSystem(['A',5,2]).weight_lattice(extended=true).fundamental_weights()
 sage: V = IntegrableRepresentation(Lambda[0]+Lambda[1]+Lambda[3])
 sage: %time V.print_strings()
 ...
 CPU times: user 3.14 s, sys: 28.5 ms, total: 3.16 s
 Wall time: 3.11 s

 sage: Lambda =
 RootSystem(['A',8,2]).weight_lattice(extended=true).fundamental_weights()
 sage: V = IntegrableRepresentation(Lambda[0]+Lambda[3])
 sage: %time V.print_strings()
 ...
 CPU times: user 8.66 s, sys: 44.2 ms, total: 8.7 s
 Wall time: 8.66 s
 }}}
 Before:
 {{{
 sage: Lambda =
 RootSystem(['A',5,2]).weight_lattice(extended=true).fundamental_weights()
 sage: V = IntegrableRepresentation(Lambda[0]+Lambda[1]+Lambda[3])
 sage: %time V.print_strings()
 ...
 CPU times: user 3.6 s, sys: 35.7 ms, total: 3.64 s
 Wall time: 3.57 s

 sage: Lambda =
 RootSystem(['A',8,2]).weight_lattice(extended=true).fundamental_weights()
 sage: V = IntegrableRepresentation(Lambda[0]+Lambda[3])
 sage: %time V.print_strings()
 ...
 CPU times: user 10 s, sys: 68.6 ms, total: 10.1 s
 Wall time: 10 s
 }}}
 If you happy with my changes, then you can set a positive review.

--
Ticket URL: <http://trac.sagemath.org/ticket/18767#comment:11>
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