#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, Dan
Authors: Brant Jones, | Bump?
Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: #13735 #14014 |
#14678 #14516 |
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Changes (by andrew.mathas):
* reviewer: Andrew Mathas?, Dan Bump? => Andrew Mathas, Dan Bump?
Comment:
I know I talked with Nicolas about this earlier, and he disagreed, but I
think that the current syntax is not ideal. I'd rather have something
like:
{{{
sage: H.C(1)
C1
sage: H.T(H.Cp(1))
v^-1T1+v^-1
}}}
The current extra layer of bracketting, together with the special use of
[] verus () for indexes and algebra elements, I find counterintuititive.
By making H.C() etc a hook to the actual basis class it maybe possible to
do better than the current syntax?
(Btw, I tried using H.inject_shorhands() but this just gave an error
message.)
The syntax for defining the Hecke algebra itself also strikes me as being
a little OTT:
{{{
sage: H = IwahoriHeckeAlgebra(['A',3], v^2, -1, v, 1)
}}}
Is there a way of simplifying this? For example, from memory chevie
computes the KL bases internally using an indeterminant and then
specialised back to the square root of the Hecke parameter.
--
Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:27>
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