#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                            |    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                      |
-------------------------------------+-------------------------------------

Old description:

> Set up the algebra to handle multiple bases; implemented the Kazhdan--
> Lusztig basis.
>
> This is a follow up to ticket #7729.
>
> See http://wiki.sagemath.org/HeckeAlgebras for some design discussion.
>
> ----
>
> Apply:
>
> * [attachment:trac_14261-iwahori_hecke-ts.patch]

New description:

 Set up the algebra to handle multiple bases; implemented the Kazhdan--
 Lusztig basis.

 This is a follow up to ticket #7729.

 See http://wiki.sagemath.org/HeckeAlgebras for some design discussion.

 ----

 Apply:

 * [attachment:trac_14261-iwahori_hecke-ts.patch]
 * [attachment:trac_14261-iwahori_hecke-review--am.patch]

--

Comment (by tscrim):

 Replying to [comment:66 andrew.mathas]:
 > **Travis:** There is an error i the documentation on line 185:
 > {{{
 > :meth:`bar involution
 <IwahoriHeckeAlgebra._BasesCategory.ElementMethods.bar>`
 > }}}
 > The `bar involution` should presumably be a link to the corresponding
 method but the link i not showing up. I haven't seen this syntax before so
 I'm not sure of the best way to fix it. Could you please have a look?

 The syntax is :meth:`this is the displayed text <link.to.method>`. However
 it's not working because the link is no longer there in the documentation,
 so you can simply remove the doc link.

 > I'm fairly happy with the patch now. As we (Brant, Travis and I) are now
 all listed as authors what is the protocol for giving this a positive
 review? Can we just agree amongst ourselves or should be lean on some one?

 It would be a cross-review, we review the other's code (basically what
 we've been doing). It's a positive review on my part once Andrew makes the
 minor tweak to his review patch about the link.

 Best,[[BR]]
 Travis

 For patchbot:

 Apply: trac_14261-iwahori_hecke-ts.patch, attachment:trac_14261
 -iwahori_hecke-review--am.patch

--
Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:69>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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