#14261: Iwahori-Hecke algebra with several bases
-------------------------------------+-------------------------------------
Reporter: brant | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.12
Component: combinatorics | Resolution:
Keywords: Iwahori Hecke | Merged in:
algebra | Reviewers: Andrew Mathas, Brant
Authors: Brant Jones, | Jones, Travis Scrimshaw
Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: #13735 #14014 |
#14678 #14516 |
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Comment (by andrew.mathas):
Replying to [comment:48 tscrim]:
> It shouldn't matter which one is the real class and which one is an
alias. If it does, then that should be a bug with `BindableClass`. I'm
fine with making `Cp` the "real" name, but I'd like at least `C_prime` to
available since that is a natural python name (and perhaps deleting
`kazhdan_lusztig` since it's ambiguous being the C and C' bases?).
It was my bug rather than one in `BindableClass`. The problem was that I
hadn't defined the shortcuts in the generic Hecke algebra class. As a
result the non-generic shortcuts were being inherited and used instead of
their generic replacements.
> I have no preference on the sign and the string representation. Just for
the record, you can input `C[s1*s2*s1]`.
Well, only if `s1` and friends have been defined:)
I have to try and finish a paper today, but hopefully I will manage to
finalise this by the end of the week.
Btw, I just noticed failing doc-test in the original patch (and in my
"review"). The following is supposed to work:
{{{
sage: G = CoxeterGroup("B2")
sage: T[G.simple_reflection(1)]
}}}
The problem is that `CoxeterGroup` and `WeylGroup` return different
groups:
{{{
sage: CoxeterGroup("B2")
Permutation Group with generators [(1,3)(2,6)(5,7), (1,5)(2,4)(6,8)]
sage: WeylGroup("B2")
Weyl Group of type ['B', 2] (as a matrix group acting on the ambient
space)
}}}
Does anyone know if this is fixed in some patch or reported as a bug
somewhere?
We can fudge the failing doc-test by using `WeylGroup` instead of
`CoxeterGroup`.
--
Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:49>
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