#14261: Iwahori-Hecke algebra with several bases
-------------------------------------+-------------------------------------
       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, days45                    |    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 #15257               |
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * status:  needs_work => needs_review


Comment:

 Okay, I made the group smaller (`B_2` instead of `B_3`) which gets rid of
 the 400+ seconds. I think we should leave the tests in there. The first
 one will always be slow due to making the cache, but is not horribly long
 (like 400 seconds!) and allows the other tests to be much faster. And in
 case anybody is curious, the Weyl group creation is slow due to loading
 (lib)Gap and must be done.
 {{{
 travis@Kristine-Desktop:~/sage-5.12.beta5/devel/sage-
 combinat/sage/categories$ sage -t --long --warn-long 5.0
 ../algebras/iwahori_hecke_algebra.py
 Running doctests with ID 2013-10-17-08-56-37-bf72d26b.
 Doctesting 1 file.
 sage -t --long --warn-long 5.0 ../algebras/iwahori_hecke_algebra.py
 **********************************************************************
 File "../algebras/iwahori_hecke_algebra.py", line 91, in
 sage.algebras.iwahori_hecke_algebra.index_cmp
 Failed example:
     W = WeylGroup(['A',2,1])
 Test ran for 19.09 s
 **********************************************************************
 File "../algebras/iwahori_hecke_algebra.py", line 369, in
 sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra
 Failed example:
     all(T(C[x]).bar() == T(C[x]) for x in W) # long time
 Test ran for 60.60 s
 **********************************************************************
 File "../algebras/iwahori_hecke_algebra.py", line 371, in
 sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra
 Failed example:
     all(T(Cp[x]).bar() == T(Cp[x]) for x in W) # long time
 Test ran for 7.61 s
 **********************************************************************
 File "../algebras/iwahori_hecke_algebra.py", line 375, in
 sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra
 Failed example:
     all(T(C[x]) == (-v)^x.length()*sum(term(x,y) for y in W) for x in W) #
 long time
 Test ran for 16.40 s
 **********************************************************************
 File "../algebras/iwahori_hecke_algebra.py", line 1222, in
 sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T
 Failed example:
     all(T(C(T[x])) == T[x] for x in W) # long time
 Test ran for 7.62 s
 **********************************************************************
 File "../algebras/iwahori_hecke_algebra.py", line 1230, in
 sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T
 Failed example:
     all(T[x].bar() == sum(v^(-2*y.length()) * KL.R(y,
 x).substitute(v=v^-2) * T[y] for y in W) for x in W) # long time
 Test ran for 9.60 s
 **********************************************************************
 3 items had failures:
    3 of 100 in sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra
    2 of  19 in sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T
    1 of   7 in sage.algebras.iwahori_hecke_algebra.index_cmp
     [567 tests, 6 failures, 153.52 s]
 ----------------------------------------------------------------------
 sage -t --long --warn-long 5.0 ../algebras/iwahori_hecke_algebra.py  # 6
 doctests failed
 ----------------------------------------------------------------------
 Total time for all tests: 154.2 seconds
     cpu time: 133.7 seconds
     cumulative wall time: 153.5 seconds
 }}}
 If you're okay with this, then go ahead and set it to positive review.

 For patchbot:

 Apply: trac_14261-iwahori_hecke-ts.patch

--
Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:80>
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