#20469: Implement Ariki-Koike algebras
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.2
Component: algebra | Resolution:
Keywords: hecke algebra, | Merged in:
complex reflection group, ariki- |
koike |
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/algebras/ariki_koike_algebras-20469|
e9b6a594ae1e089b51b37081f35743402447a960
Dependencies: | Stopgaps:
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Comment (by andrew.mathas):
ps. With the degenerate algebras, the other option would be to use the Hu-
Mathas presentation for the "main" algebra (this combines the Ariki-Koike
algebras with `q\ne1` and the degenerate AK algebras (when `q=1`) and then
implement the `q=1` version of the Ariki-Koike algebras as the "extra"
case. I am biased, but personally I think that makes more sense because
the Hu-M. presentation fits with the KLR categorifiction of integrable
highest weight modules perfectly whereas the Ariki-Koike presentation does
not.
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Ticket URL: <https://trac.sagemath.org/ticket/20469#comment:9>
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