#11111: More support for finite dimensional modules and algebras with basis
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:  nthiery
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.4
      Component:  categories         |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Florent Hivert,    |    Reviewers:
  Franco Saliola, Nicolas M. ThiƩry  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  195d14e5a309834179015f4066d27dd5b7ca5b20
  
public/11111-more_support_for_finite_dimensional_modules_and_algebras_with_basis|
     Stopgaps:
   Dependencies:  #10963, #8678      |
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Comment (by virmaux):

 My bad, I did not know that this group method was existing; it should fix
 everything as on a SymmetricGroupAlgebra it gives a SymmetricGroup object
 and not a StandardPermutations_n. Also, notations are different between
 SymmetricGroup and StandardPermutation objects. One is the cyclic notation
 for permutation, the other one is the functional notation. It is then very
 confusing when going from group to algebra and vice versa.

 Let's note that using .basis().key() is almost 3 times faster as doing
 .group() but it should not be an issue as it is usually called only once.

 I am still a bit dubious about the class SymmetricGroupAlgebra. In my
 personnal using of sage I have always dodged it to avoid all kind of
 troubles. Is there a way of using the more general framework and adding
 the few methods it adds to the particular case of symmetric groups
 algebras without defining a special class for it ? Would it be a good idea
 ?

 I hope I did not say too much nonsense.

 Best,
 Aladin

--
Ticket URL: <http://trac.sagemath.org/ticket/11111#comment:29>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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