#20489: A and B bases for Iwahori-Hecke algebras
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Reporter: andrew.mathas | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: combinatorics | Resolution:
Keywords: Iwahori-Hecke | Merged in:
algebra | Reviewers:
Authors: Andrew Mathas | Work issues:
Report Upstream: N/A | Commit:
Branch: | 74ba6e2f2c7cf9cf1a63f654ba8fd108407416f9
u/andrew.mathas/TwoIwahoriHeckeBases| Stopgaps:
Dependencies: |
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Comment (by tscrim):
Replying to [comment:12 andrew.mathas]:
> Replying to [comment:11 tscrim]:
> > Also, do we need corresponding bases in
`IwahoriHeckeAlgebra_nonstandard`?
>
> I know that the code actually says on lines 2266-67 that this is
necessary but as far as I can see it isn't. To check this I wrote some
doc-tests that involve coercions between the KL-bases and the A/B-basis
and they work. The way we wrote it `IwahoriHeckeAlgebra_nonstandard`
inherits from `IwahoriHeckeAlgebra` so it automatically has the `A` and
`B` basis classes. If you agree then I could delete the comment on lines
2266-67 (probably the comment should saythat if you want to change any of
the basis classes then their names etc have to match those in
`IwahoriHeckeAlgebra`).
It would probably be good to amend that comment. I should be able to do a
full review of this tomorrow.
--
Ticket URL: <http://trac.sagemath.org/ticket/20489#comment:13>
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