#14261: Iwahori-Hecke algebra with several bases
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       Reporter:  brant              |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-5.13
      Component:  combinatorics      |   Resolution:
       Keywords:  Iwahori Hecke      |    Merged in:
  algebra                            |    Reviewers:  Andrew Mathas, Brant
        Authors:  Brant Jones,       |  Jones, Travis Scrimshaw
  Travis Scrimshaw, Andrew Mathas    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |     Stopgaps:
   Dependencies:  #13735 #14014      |
  #14678 #14516                      |
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Comment (by nthiery):

 Just some first feelings; I have only skimmed through the discussion, so
 please take them with a grain of salt!

 About AGenericIwahoriHeckeAlgebra:

 - +1 on ``it should not be in the global name space''

 - +1 on ``it should not be in the Hecke algebra name space (i.e. appear in
 the tab completion on  Hecke algebra'')

 - +1 on it appearing *somewhere* in the reference manual

 With this in mind, I guess I would put it in the same module as it is now,
 but not as a nested class. And maybe change the class name to be explicit
 about the choice of parameters not being what people would call ``the
 generic ones''?

 Oh, and a stupid idea: would it make any sense for the Hecke algebra to
 have lift/retract maps to the "generic" one, and reference the later as
 "ambient" like we do for subquotients ?

 See:
 
http://combinat.sagemath.org/doc/reference/categories/sage/categories/subquotients.html

 Cheers,
                                        Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:59>
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