#14261: Iwahori-Hecke algebra with several bases
-------------------------------------+-------------------------------------
       Reporter:  brant              |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  positive_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                      |
-------------------------------------+-------------------------------------

Comment (by jdemeyer):

 Some doctest failures:
 {{{
 sage -t devel/sage/doc/en/thematic_tutorials/lie/iwahori_hecke_algebra.rst
 **********************************************************************
 File "devel/sage/doc/en/thematic_tutorials/lie/iwahori_hecke_algebra.rst",
 line 54, in doc.en.thematic_tutorials.lie.iwahori_hecke_algebra
 Failed example:
     H = IwahoriHeckeAlgebra("B3",q).T(); H
 Expected:
     Iwahori-Hecke algebra of type B3 in q,-1 over Univariate Polynomial
 Ring
      in q over Integer Ring in the standard basis
 Got:
     Iwahori-Hecke algebra of type B3 in q,-1 over Univariate Polynomial
 Ring in q over Integer Ring in the T-basis
 **********************************************************************
 File "devel/sage/doc/en/thematic_tutorials/lie/iwahori_hecke_algebra.rst",
 line 58, in doc.en.thematic_tutorials.lie.iwahori_hecke_algebra
 Failed example:
     T1*T1
 Expected:
     (q-1)*T1 + q
 Got:
     (q-1)*T[1] + q
 **********************************************************************
 File "devel/sage/doc/en/thematic_tutorials/lie/iwahori_hecke_algebra.rst",
 line 70, in doc.en.thematic_tutorials.lie.iwahori_hecke_algebra
 Failed example:
     H(s1*s2)
 Expected:
     T1*T2
 Got:
     T[1,2]
 **********************************************************************
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:72>
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